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introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | since these proteins can go from unstructured to folded all by themselves , their amino acid sequences must contain all the information needed for folding . however , not all proteins are able to pull off this trick , and how proteins normally fold in a cell appears to be more complicated . many proteins don ’ t fold b... | what are characteristics of proteins ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | also important to tertiary structure are hydrophobic interactions , in which amino acids with nonpolar , hydrophobic r groups cluster together on the inside of the protein , leaving hydrophilic amino acids on the outside to interact with surrounding water molecules . finally , there ’ s one special type of covalent bon... | why covalent bonds ca n't find in tertiary protein structure ( except disulfide linkage ) ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | a change in the gene 's dna sequence may lead to a change in the amino acid sequence of the protein . even changing just one amino acid in a protein ’ s sequence can affect the protein ’ s overall structure and function . for instance , a single amino acid change is associated with sickle cell anemia , an inherited dis... | what is a haem prosthetic group and how does a prosthetic group assist the protein 's function ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | ( the insulin molecule shown here is cow insulin , although its structure is similar to that of human insulin . ) each chain has its own set of amino acids , assembled in a particular order . for instance , the sequence of the a chain starts with glycine at the n-terminus and ends with asparagine at the c-terminus , an... | why is the a chain connected with the b chain ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | as we mentioned in the last article on proteins and amino acids , the shape of a protein is very important to its function . to understand how a protein gets its final shape or conformation , we need to understand the four levels of protein structure : primary , secondary , tertiary , and quaternary . primary structure... | why the primary structure of a protein also determines what secondary structure it will have ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | as we mentioned in the last article on proteins and amino acids , the shape of a protein is very important to its function . to understand how a protein gets its final shape or conformation , we need to understand the four levels of protein structure : primary , secondary , tertiary , and quaternary . primary structure... | if the primary structure of a protein is changed , then what other types of structures are changed ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | to understand how a protein gets its final shape or conformation , we need to understand the four levels of protein structure : primary , secondary , tertiary , and quaternary . primary structure the simplest level of protein structure , primary structure , is simply the sequence of amino acids in a polypeptide chain .... | which level of protein structure is established through the dehydration synthesis of peptide bonds ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | in general , the same types of interactions that contribute to tertiary structure ( mostly weak interactions , such as hydrogen bonding and london dispersion forces ) also hold the subunits together to give quaternary structure . denaturation and protein folding each protein has its own unique shape . if the temperatur... | when the protein enters the chaperonin is it still being synthesized or the process has finished ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | secondary structure the next level of protein structure , secondary structure , refers to local folded structures that form within a polypeptide due to interactions between atoms of the backbone . ( the backbone just refers to the polypeptide chain apart from the r groups – so all we mean here is that secondary structu... | what is an ''r group '' ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | the stuck cells impair blood flow and can cause serious health problems for people with sickle cell anemia , including breathlessness , dizziness , headaches , and abdominal pain . secondary structure the next level of protein structure , secondary structure , refers to local folded structures that form within a polype... | in the secondary structure , why does the nitrogen only form hydrogen bond with the carbon in the carbonyl group instead of the alpha carbon ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | the albumin protein in the liquid egg white becomes opaque and solid as it is denatured by the heat of the stove , and will not return to its original , raw-egg state even when cooled down . researchers have found that some proteins can re-fold after denaturation even when they are alone in a test tube . since these pr... | have n't some researchers found a way to refold the proteins of a boiled egg , and so unboil it ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | thank you , protein denaturation , for another delicious breakfast . as we mentioned in the last article on proteins and amino acids , the shape of a protein is very important to its function . to understand how a protein gets its final shape or conformation , we need to understand the four levels of protein structure ... | why change in amino acids in proteins can cause a lot of difference between them ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | many proteins contain both α helices and β pleated sheets , though some contain just one type of secondary structure ( or do not form either type ) . tertiary structure the overall three-dimensional structure of a polypeptide is called its tertiary structure . the tertiary structure is primarily due to interactions bet... | what happens to the sickle cell at the secondary , tertiary and quartenary structure ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . heating causes these bonds to break and exposes hydrophobic ( water-hating ) amino acids usually kep... | what is different than usual ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | since these proteins can go from unstructured to folded all by themselves , their amino acid sequences must contain all the information needed for folding . however , not all proteins are able to pull off this trick , and how proteins normally fold in a cell appears to be more complicated . many proteins don ’ t fold b... | can you synthesize and inject proteins into people without the body rejecting these synthesized proteins ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | many proteins contain both α helices and β pleated sheets , though some contain just one type of secondary structure ( or do not form either type ) . tertiary structure the overall three-dimensional structure of a polypeptide is called its tertiary structure . the tertiary structure is primarily due to interactions bet... | what 's the difference between secondary structure and tertiary structure ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | the strands of a β pleated sheet may be parallel , pointing in the same direction ( meaning that their n- and c-termini match up ) , or antiparallel , pointing in opposite directions ( meaning that the n-terminus of one strand is positioned next to the c-terminus of the other ) . certain amino acids are more or less li... | are n't alpha helices and beta pleated sheets just different types of 3d structures of polypeptides ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | in general , the same types of interactions that contribute to tertiary structure ( mostly weak interactions , such as hydrogen bonding and london dispersion forces ) also hold the subunits together to give quaternary structure . denaturation and protein folding each protein has its own unique shape . if the temperatur... | what are the two main functions of a protein ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | many proteins contain both α helices and β pleated sheets , though some contain just one type of secondary structure ( or do not form either type ) . tertiary structure the overall three-dimensional structure of a polypeptide is called its tertiary structure . the tertiary structure is primarily due to interactions bet... | does the haemoglobin have tertiary structure too ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | when a protein loses its higher-order structure , but not its primary sequence , it is said to be denatured . denatured proteins are usually non-functional . for some proteins , denaturation can be reversed . | can an enzyme that has been denatured by heating be re-natured by lowering it to the original temperature ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | the albumin protein in the liquid egg white becomes opaque and solid as it is denatured by the heat of the stove , and will not return to its original , raw-egg state even when cooled down . researchers have found that some proteins can re-fold after denaturation even when they are alone in a test tube . since these pr... | how does holding the test tube at 45 degrees when adding the biuret in the biuret test so that the biuret sits as a layer on top of the sample affect it ? |
introduction have you ever wondered why egg whites go from clear to opaque when you fry an egg ? if so , this section is for you ! egg whites contain large amounts of proteins called albumins , and the albumins normally have a specific 3d shape , thanks to bonds formed between different amino acids in the protein . hea... | in general , the same types of interactions that contribute to tertiary structure ( mostly weak interactions , such as hydrogen bonding and london dispersion forces ) also hold the subunits together to give quaternary structure . denaturation and protein folding each protein has its own unique shape . if the temperatur... | what exactly is a protein ? |
what does complexity mean , and why is it so important ? what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to h... | but we shouldn ’ t assume there ’ s anything special about complexity or that complex things are necessarily any better than simple things . remember that complexity can present challenges . what does complexity mean ? that ’ s a tough question and there ’ s no universally accepted answer . | is there another scientific explanation about complexity not using thermodynamics ? |
what does complexity mean , and why is it so important ? what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to h... | goldilocks conditions you find complex things only where the conditions are just right for making them , where there are just the right environments , just the right ingredients , and just the right energy flows . we call these conditions “ goldilocks conditions. ” remember the children ’ s story of the three bears ? g... | could we , humanity , be in waiting for a goldilocks situation before we can actually begin considering bringing order into our antiquated tool - language -with its uncontrolled content of aggression-causing words ? |
what does complexity mean , and why is it so important ? what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to h... | what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to have appeared — and we ’ re among the most complex of them... | are `` thresholds of increasing complexity '' a dumbed down version of something that fundamentally exists in reality , like kolmogorov complexity ( from information theory ) or entropy ( from thermodynamics ) ? |
what does complexity mean , and why is it so important ? what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to h... | why complexity is rarer than simplicity the second law of thermodynamics explains why most of the universe is simple . intergalactic space is almost completely empty , extremely cold , and randomly organized . complexity is concentrated in just a few places : inside galaxies and particularly around stars . | in space , can starlight warp it ? |
what does complexity mean , and why is it so important ? what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to h... | what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to have appeared — and we ’ re among the most complex of them... | is this where the idea of religion comes from ? |
what does complexity mean , and why is it so important ? what role has complexity played in getting us to the world we live in today ? complexity one of the central themes of this course is the idea of increasing complexity . in the 13.8 billion years since our universe appeared , more and more complex things seem to h... | so if there ’ s no energy flowing , it ’ s hard to build complexity . think of a still , calm lake that ’ s been dammed . not much is happening . | what does history of the story think about you ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | it shows us that in order to complete $ x^2+bx $ into a perfect square , where $ b $ is any number , we need to add $ \left ( \dfrac { b } { 2 } \right ) ^2 $ to it . for example , in order to complete $ x^2+\blued { 6 } x $ into a perfect square , we added $ \left ( \dfrac { \blued { 6 } } { 2 } \right ) ^2=9 $ to it ... | if i were to take the sqrt of ( x-6 ) ^2 then would n't it have to become |x-6| ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this is why we added $ 6 $ in row $ \purplec { ( 3 ) } $ , leaving $ x^2+4x $ on its own . rule 2 : make sure the coefficient of $ x^2 $ is equal to $ 1 $ . this is how the solution of the equation $ 3x^2-36x=-42 $ goes : $ \begin { align } ( 1 ) & amp ; & amp ; 3x^2-36x & amp ; =-42\\ \maroond { ( 2 ) } & amp ; & amp ... | for the problem x^2 + 3x = -1/4 how the hints factor x^2 + 3x + 3/2 = -1/4 ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | } \\ ( 5 ) & amp ; & amp ; \sqrt { ( x-6 ) ^2 } & amp ; =\pm\sqrt { 22 } & amp ; & amp ; \text { take the square root . } \\ ( 6 ) & amp ; & amp ; x-6 & amp ; =\pm\sqrt { 22 } \\ ( 7 ) & amp ; & amp ; x & amp ; =\pm\sqrt { 22 } +6 & amp ; & amp ; \text { add 6 . } \end { align } $ the completing the square method only ... | how was 7 added at the 6 paragraph ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this does n't mean you did something wrong , it just means you will have to work with fractions in order to solve . now it 's your turn to solve an equation like this . | what does what does it mean when there is a letter i in the solution of the equation ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | but hope is not lost ! we can use a method called completing the square . let 's start with the solution and then review it more closely . | how do i convert a function that is in standard form into vertex form by completing the square if a is less then 1 ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this was no coincidence , of course . the number $ 9 $ was carefully chosen so the resulting expression would be a perfect square . how to complete the square to understand how $ 9 $ was chosen , we should ask ourselves the following question : if $ x^2+6x $ is the beginning of a perfect square expression , what should... | how come the square root of an algebraic expression square is the algebraic expression and not + or - the expression like you do when taking the square root of a number ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | in this lesson , you will learn a method for solving any kind of quadratic equation . solving quadratic equations by completing the square consider the equation $ x^2+6x=-2 $ . the square root and factoring methods are not applicable here . | completing the square always works , does the quadratic formula have the same accuracy ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | how can i show that a quadratic root is conjugant of one another in complex number factoring ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this is why we added $ 6 $ in row $ \purplec { ( 3 ) } $ , leaving $ x^2+4x $ on its own . rule 2 : make sure the coefficient of $ x^2 $ is equal to $ 1 $ . this is how the solution of the equation $ 3x^2-36x=-42 $ goes : $ \begin { align } ( 1 ) & amp ; & amp ; 3x^2-36x & amp ; =-42\\ \maroond { ( 2 ) } & amp ; & amp ... | in rule 2 , why does x^2 have to equal 1 ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | what is the meaning of math ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | why are there numbers ... and letteres ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | but before we do that , we need to make sure that all the constant terms are on the other side of the equation . this is why we added $ 6 $ in row $ \purplec { ( 3 ) } $ , leaving $ x^2+4x $ on its own . rule 2 : make sure the coefficient of $ x^2 $ is equal to $ 1 $ . | why do we divide in row two ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | what happens when you have answer is negative ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | as always with equations , we did the same for the right-hand side , which made it increase from $ -12 $ to $ 13 $ . in general , the choice of the number to add in order to complete the square does n't depend on the right-hand side , but we should always add the number to both sides . now it 's your turn to solve some... | what happens if we end up with a negative number under the radical ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this is why we added $ 6 $ in row $ \purplec { ( 3 ) } $ , leaving $ x^2+4x $ on its own . rule 2 : make sure the coefficient of $ x^2 $ is equal to $ 1 $ . this is how the solution of the equation $ 3x^2-36x=-42 $ goes : $ \begin { align } ( 1 ) & amp ; & amp ; 3x^2-36x & amp ; =-42\\ \maroond { ( 2 ) } & amp ; & amp ... | [ 2 ( x+1 ) ] squared + 4 = f ( x ) why is a vertical shrink by 1/2 why is n't it a vertical stretch by 4 if you bring down the square to the 2 and the ( x+1 ) factors ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | adding $ 9 $ to $ x^2+6x $ in row $ \blued { ( 2 ) } $ had the fortunate result of making the expression a perfect square that can be factored as $ ( x+3 ) ^2 $ . this allowed us to solve the equation by taking the square root . this was no coincidence , of course . | what is the accepted completed square form of an equation ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | it shows us that in order to complete $ x^2+bx $ into a perfect square , where $ b $ is any number , we need to add $ \left ( \dfrac { b } { 2 } \right ) ^2 $ to it . for example , in order to complete $ x^2+\blued { 6 } x $ into a perfect square , we added $ \left ( \dfrac { \blued { 6 } } { 2 } \right ) ^2=9 $ to it ... | in an exam , for instance , if they want you to bring an equation into completed square form , would it be ( x + _ ) ^2 + _ = 0 , or can the constant term be left on the right side ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this was no coincidence , of course . the number $ 9 $ was carefully chosen so the resulting expression would be a perfect square . how to complete the square to understand how $ 9 $ was chosen , we should ask ourselves the following question : if $ x^2+6x $ is the beginning of a perfect square expression , what should... | also , must we add `` = 0 '' to the equation , or would the expression itself be fine ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this is why we subtracted $ x $ in row $ \teald { ( 2 ) } $ , placing all the variable terms on the left-hand side . furthermore , to complete $ x^2+4x $ into a perfect square , we need to add $ 4 $ to it . but before we do that , we need to make sure that all the constant terms are on the other side of the equation . | how do you know what you need to put in to finish the square ? |
what you should be familiar with before taking this lesson solving quadratic equations by taking the square root solving quadratic equations by factoring what you will learn in this lesson so far , you 've either solved quadratic equations by taking the square root or by factoring . these methods are relatively simple ... | this is why we added $ 6 $ in row $ \purplec { ( 3 ) } $ , leaving $ x^2+4x $ on its own . rule 2 : make sure the coefficient of $ x^2 $ is equal to $ 1 $ . this is how the solution of the equation $ 3x^2-36x=-42 $ goes : $ \begin { align } ( 1 ) & amp ; & amp ; 3x^2-36x & amp ; =-42\\ \maroond { ( 2 ) } & amp ; & amp ... | is it important to apply rule 1 before rule 2 or can they be reversed ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | classical period by around 500 b.c.e . `` rule by the people , '' or democracy , had emerged in the city of athens . following the defeat of a persian invasion in 480-479 b.c.e. , mainland greece and athens in particular entered into a golden age . | would n't a democracy having an empire be a strange contradiction ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | it used to be thought that all kouroi were intended as representations of the god apollo . however , although some may be intended as representations of gods or heroes , many were simply grave markers . the kouros was not intended as a realistic portrait of the deceased , but an idealized representation of values and v... | it is that last line that i was curious about ... were these used as `` grave markers '' in the same way we mark the bodies of our modern day deceased with tombstones ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | the mouth is invariably fixed in a smile , which is probably a symbolic expression of the arete ( `` excellence '' ) of the person represented . it used to be thought that all kouroi were intended as representations of the god apollo . however , although some may be intended as representations of gods or heroes , many ... | why are the arms and bottom part of the legs of apollo cut off ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | as well as making some of the world ’ s earliest coins , the ancient greeks were the first to use them extensively in trade . hellenistic period following the death of alexander and the division of his empire , the hellenistic period ( 323-31 b.c.e . ) saw greek power and culture extended across the middle east and as ... | why is alexander 's name dropped into the first sentence of the hellenistic period paragraph with no indication of who he was ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . | how is a student who has no knowledge of ancient greeks supposed to follow a jump like this ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | the female figures served similar functions , but differed from their male counterparts in that they were elaborately draped . the mouth is invariably fixed in a smile , which is probably a symbolic expression of the arete ( `` excellence '' ) of the person represented . it used to be thought that all kouroi were inten... | what about the mouth fixed in a smile represents excellence , i mean , what is the larger philosophical idea behind arete ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | distinctive mycenaean pottery was distributed widely across the eastern mediterranean . these show the beginnings of greek mythology being used to decorate works of art . they come from about the same time that the epics of homer were reaching the form in which we inherit them , as the earliest greek literature . | what inspired the greeks to create their own mythology ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | ancient greece also played a vital role in the early history of coinage . as well as making some of the world ’ s earliest coins , the ancient greeks were the first to use them extensively in trade . hellenistic period following the death of alexander and the division of his empire , the hellenistic period ( 323-31 b.c... | is it really true that the greeks were the first people to use coins extensively in trade ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | this paid for one of the biggest public building projects ever seen in greece , which included the parthenon . ancient greece also played a vital role in the early history of coinage . as well as making some of the world ’ s earliest coins , the ancient greeks were the first to use them extensively in trade . hellenist... | also , how did the semitic civilizations covered in earlier lessons trade with each other over prolonged periods of time without coins ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . | from when to when did the ancient greeks live then ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . | do anyone read rick riorden 's books like percy jackson or the heros of olympus ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | classical period by around 500 b.c.e . `` rule by the people , '' or democracy , had emerged in the city of athens . following the defeat of a persian invasion in 480-479 b.c.e. , mainland greece and athens in particular entered into a golden age . | when was athens first established ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | classical period by around 500 b.c.e . `` rule by the people , '' or democracy , had emerged in the city of athens . following the defeat of a persian invasion in 480-479 b.c.e. , mainland greece and athens in particular entered into a golden age . in drama and philosophy , literature , art and architecture , athens wa... | is athens a part of greece or is it just another country ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | classical period by around 500 b.c.e . `` rule by the people , '' or democracy , had emerged in the city of athens . following the defeat of a persian invasion in 480-479 b.c.e. , mainland greece and athens in particular entered into a golden age . | why are artist obsessed with making sculptures of naked people ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | this paid for one of the biggest public building projects ever seen in greece , which included the parthenon . ancient greece also played a vital role in the early history of coinage . as well as making some of the world ’ s earliest coins , the ancient greeks were the first to use them extensively in trade . | when exactly was the period that addressed ancient greece ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | it used to be thought that all kouroi were intended as representations of the god apollo . however , although some may be intended as representations of gods or heroes , many were simply grave markers . the kouros was not intended as a realistic portrait of the deceased , but an idealized representation of values and v... | were n't these gods envious ? |
the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . the greeks lived in separate city-states , but shared the same language and religious beliefs . bronze age greece during th... | the ancient greeks lived in many lands around the mediterranean sea , from turkey to the south of france . they had close contacts with other peoples such as the egyptians , syrians and persians . | anyone know the author/ dtae published ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | this writer says : regarding the war as inevitable , wall street believes that it would be preferable to this uncertainty about the actual date of its commencement . canada and japan are at war and are more prosperous than ever before . the popular view is that stocks would have a quick , clear , sharp reaction immedia... | have truer words ever been spoken by a politician in history ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | . the first war zone was declared by great britain . she gave us and the world notice of it on , the 4th day of november , 1914 . | if i interpret norris 's words properly , he confesses that america is sending aid and munition to britain and her allies and states that they submitted to the war zone declared by britain therefore america was never in fact neutral ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | we had a right as a nation , if we desired , to cease at any time to be neutral . we had a technical right to respect the english war zone and to disregard the german war zone , but we could not do that and be neutral . i have no quarrel to find with the man who does not desire our country to remain neutral . | also if america had in fact been neutral from the start then this war would have ended much sooner ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | . the first war zone was declared by great britain . she gave us and the world notice of it on , the 4th day of november , 1914 . | referencing senator norris 's speech is this the first time the word `` holocaust '' was ever used ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | in showing the position of the bondholder and the stockbroker , i desire to read an extract from a letter written by a member of the new york stock exchange to his customers . this writer says : regarding the war as inevitable , wall street believes that it would be preferable to this uncertainty about the actual date ... | i can believe that the profits for arms-related business could see a boost before and during the war , but what other parts of the market would benefit from this enough to determine that the us would be more prosperous ( like canada and japan ) in times of war ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | the first war zone was declared by great britain . she gave us and the world notice of it on , the 4th day of november , 1914 . the zone became effective nov. 5 , 1914. . | what would be the economy of the world if there were no world wars ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | the popular view is that stocks would have a quick , clear , sharp reaction immediately upon outbreak of hostilities , and that then they would enjoy an old-fashioned bull market such as followed the outbreak of war with spain in 1898 . the advent of peace would force a readjustment of commodity prices and would probab... | would world be better then it is today or worse ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | no close student of recent history will deny that both great britain and germany have , on numerous occasions since the beginning of the war , flagrantly violated in the most serious manner the rights of neutral vessels and neutral nations under existing international law , as recognized up to the beginning of this war... | was n't this guy forgetting the significant difference that germany had and was intending to sink/kill american ships/passengers ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | again this writer says that if we can not get war , `` it is nevertheless good opinion that the preparedness program will compensate in good measure for the loss of the stimulus of actual war . '' that is , if we can not get war , let us go as far in that direction as possible . if we can not get war , let us cry for a... | where was george norris during the discussions of whether the us should invade afghanistan and iraq ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | the first german war zone was declared on the 4th day of february , 1915 , just three months after the british war zone was declared . germany gave fifteen days ' notice of the establishment of her zone , which became effective on the 18th day of february , 1915 . the german war zone covered the english channel and the... | what happened when zimmerman 's telegram was intercepted , was he beat or was kicked out of germany , or what ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | the popular view is that stocks would have a quick , clear , sharp reaction immediately upon outbreak of hostilities , and that then they would enjoy an old-fashioned bull market such as followed the outbreak of war with spain in 1898 . the advent of peace would force a readjustment of commodity prices and would probab... | why would the act make our countrymen suffer ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | england would have been compelled to take her mines out of the north sea in order to get any supplies from our country . when her mines were taken out of the north sea then the german ports upon the north sea would have been accessible to american shipping and germany would have been compelled to cease her submarine wa... | but were n't there significant number of german population in the u.s. ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | england would have been compelled to take her mines out of the north sea in order to get any supplies from our country . when her mines were taken out of the north sea then the german ports upon the north sea would have been accessible to american shipping and germany would have been compelled to cease her submarine wa... | why did n't german-americans raise their voice for the german cause ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | when her mines were taken out of the north sea then the german ports upon the north sea would have been accessible to american shipping and germany would have been compelled to cease her submarine warfare in order to get any supplies from our nation into german north sea ports . there are a great many american citizens... | was there a vote placed for all american citizens for the declaration of war ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | just curious : what state was senator norris from ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | and if war comes , do such men as these shoulder the musket and go into the trenches ? their object in having war and in preparing for war is to make money . human suffering and the sacrifice of human life are necessary , but wall street considers only the dollars and the cents . | which war was in 1898 ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | if we can not get war , let us cry for additional ships , additional guns , additional munitions , and everything else that will have a tendency to bring us as near as possible to the verge of war . and if war comes , do such men as these shoulder the musket and go into the trenches ? their object in having war and in ... | why did the americans not go to war immediately after the zimmerman telegram was known to them ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | this has brought us to the present moment , when congress , urged by the president and backed by the artificial sentiment , is about to declare war and engulf our country in the greatest holocaust that the world has ever known . in showing the position of the bondholder and the stockbroker , i desire to read an extract... | what is the preparedness program mentioned by the member of the new york stock exchange ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | if the united states does not go to war , it is nevertheless good opinion that the preparedness program will compensate in good measure for the loss of the stimulus of actual war . here we have the wall street view . here we have the man representing the class of people who will be made prosperous should we become enta... | does anyone know the context of the man from wall streets remarks ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | what was senator george norris ' background ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | we ought to consider likewise the route we have recently traveled and ascertain whether we have reached our present position in a way that is compatible with the neutral position which we claimed to occupy at the beginning and through the various stages of this unholy and unrighteous war . no close student of recent hi... | was there serious discussions or debates regarding boosting our navy to protect our `` passenger '' vessels and only confront direct threats ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | and if war comes , do such men as these shoulder the musket and go into the trenches ? their object in having war and in preparing for war is to make money . human suffering and the sacrifice of human life are necessary , but wall street considers only the dollars and the cents . | did norris 's speech brought any harm to him and the congressman who voted against the war ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | we are taking a step today that is fraught with untold danger . we are going into war upon the command of gold . we are going to run the risk of sacrificing millions of our countrymen 's lives in order that other countrymen may coin their lifeblood into money . | was only senator norris opposed on america going to war ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | the popular view is that stocks would have a quick , clear , sharp reaction immediately upon outbreak of hostilities , and that then they would enjoy an old-fashioned bull market such as followed the outbreak of war with spain in 1898 . the advent of peace would force a readjustment of commodity prices and would probab... | how would this quotation from president woodrow wilson fit in with the current attitudes of the us government and its agencies ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | and if war comes , do such men as these shoulder the musket and go into the trenches ? their object in having war and in preparing for war is to make money . human suffering and the sacrifice of human life are necessary , but wall street considers only the dollars and the cents . | in the introduction paragraph , norris says `` while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe ... i am bitterly opposed to my country entering the war ... '' could other senators agree with norris at this poi... |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | i have no quarrel to find with the man who does not desire our country to remain neutral . while many such people are moved by selfish motives and hopes of gain , i have no doubt but that in a great many instances , through what i believe to be a misunderstanding of the real condition , there are many honest , patrioti... | and how many senators were apposing war ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | england would have been compelled to take her mines out of the north sea in order to get any supplies from our country . when her mines were taken out of the north sea then the german ports upon the north sea would have been accessible to american shipping and germany would have been compelled to cease her submarine wa... | did n't britain also take down german 's unarmed ship at north sea ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | as peace negotiations would be long drawn out , the period of waiting and uncertainty for business would be long . if the united states does not go to war , it is nevertheless good opinion that the preparedness program will compensate in good measure for the loss of the stimulus of actual war . here we have the wall st... | why does the president of the united states want to declare war ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | england would have been compelled to take her mines out of the north sea in order to get any supplies from our country . when her mines were taken out of the north sea then the german ports upon the north sea would have been accessible to american shipping and germany would have been compelled to cease her submarine wa... | how is the propaganda handled by the german and russian governments ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | if we had done this , i do not believe we would have been on the verge of war at the present time . we had a right as a nation , if we desired , to cease at any time to be neutral . we had a technical right to respect the english war zone and to disregard the german war zone , but we could not do that and be neutral . ... | why did america want to stay neutral ? |
while i am most emphatically and sincerely opposed to taking any step that will force our country into the useless and senseless war now being waged in europe , yet , if this resolution passes , i shall not permit my feeling of opposition to its passage to interfere in any way with my duty either as a senator or as a c... | if the united states does not go to war , it is nevertheless good opinion that the preparedness program will compensate in good measure for the loss of the stimulus of actual war . here we have the wall street view . here we have the man representing the class of people who will be made prosperous should we become enta... | does anyone feel like the senator is misrepresenting what the man from wall street was saying ? |
if you are wondering where the suggested answers came from , you can review the videos and articles in the biodiversity distribution patterns tutorial . 1 . in your own words , define what the term “ biomass ” means . explain how you would calculate the biomass in a given area . answer : a complete explanation would me... | microbes such as bacteria have amazing adaptations for living in these extreme environments . 4 . consider the following statement : humans have changed the ranges of many organisms . | as asked in question 4 , my question about that question is why is it relevant to know that lice and humpback whales have the same range ? |
the chain rule says : $ \dfrac { d } { dx } \left [ f\bigl ( g ( x ) \bigr ) \right ] =f'\bigl ( g ( x ) \bigr ) g ' ( x ) $ it tells us how to differentiate composite functions . quick review of composite functions a function is composite if you can write it as $ f\big ( g ( x ) \big ) $ . in other words , it is a fun... | on the other hand , applying the chain rule on a function that is n't composite will also result in a wrong derivative . especially with transcendental functions ( e.g. , trigonometric and logarithmic functions ) , students often confuse compositions like $ \ln ( \sin ( x ) ) $ with products like $ \ln ( x ) \sin ( x )... | why are sin ( x ) , cos ( x ) , etc , called transcendental functions ? |
the chain rule says : $ \dfrac { d } { dx } \left [ f\bigl ( g ( x ) \bigr ) \right ] =f'\bigl ( g ( x ) \bigr ) g ' ( x ) $ it tells us how to differentiate composite functions . quick review of composite functions a function is composite if you can write it as $ f\big ( g ( x ) \big ) $ . in other words , it is a fun... | students are often confused by this sort of function and think that $ \cos ( x ) $ is the outer function . worked example of applying the chain rule let 's see how the chain rule is applied by differentiating $ h ( x ) = ( 5-6x ) ^5 $ . notice that $ h $ is a composite function : $ \begin { align } h ( x ) & amp ; = \g... | how do you know when to use chain rule ? |
the chain rule says : $ \dfrac { d } { dx } \left [ f\bigl ( g ( x ) \bigr ) \right ] =f'\bigl ( g ( x ) \bigr ) g ' ( x ) $ it tells us how to differentiate composite functions . quick review of composite functions a function is composite if you can write it as $ f\big ( g ( x ) \big ) $ . in other words , it is a fun... | the chain rule says : $ \dfrac { d } { dx } \left [ f\bigl ( g ( x ) \bigr ) \right ] =f'\bigl ( g ( x ) \bigr ) g ' ( x ) $ it tells us how to differentiate composite functions . quick review of composite functions a function is composite if you can write it as $ f\big ( g ( x ) \big ) $ . | can someone kindly help me on how to differentiate ( x-11 ) ^3 / ( x+3 ) using the chain rule ? |
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