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hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | the difference between a common and a proper noun is merely the difference between a general thing , so this side is more general , and a specific thing . it 's a continuum . so if you are speaking of , let 's see , a river , any old river , that 's a common noun , but if you 're talking about a specific river , and it... | in what is a continuum ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | and that is a lowercase , non-capitalized m , as opposed to this one , which is uppercase . so that 's the difference between common and proper nouns . if you 're talking about something general , it 's a common noun . | are species of animals such as a `` hylidae '' frog common or proper ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | so here are the properties of proper nouns . proper nouns are always capitalized . and that means that instead of using a little letter a like that , you would instead use a big letter a like that . | does a proper noun always have to have a capital letter ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | and that is a lowercase , non-capitalized m , as opposed to this one , which is uppercase . so that 's the difference between common and proper nouns . if you 're talking about something general , it 's a common noun . if you 're talking about something specific , it 's a proper noun , and the difference between them i... | is there a proper noun for every common noun ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | if you 're talking about something general , it 's a common noun . if you 're talking about something specific , it 's a proper noun , and the difference between them is that you capitalize a proper noun . you can learn anything . | would there be a proper noun for paper clip ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | if you 're talking about something general , it 's a common noun . if you 're talking about something specific , it 's a proper noun , and the difference between them is that you capitalize a proper noun . you can learn anything . | is south asia a proper noun ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | the specific city that i 'm from is chicago . i could talk about a frog generally , but if i were speaking of a specific frog , i would say kermit . the difference between a common and a proper noun is merely the difference between a general thing , so this side is more general , and a specific thing . | going back to the frog example , out of classification would i capitalize a specific breed of frog ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | you could talk about a mountain , and that would be a common noun , because there are many mountains , but if you wanted to talk about a specific mountain , say mount kilimanjaro , in tanzania , that 's a proper noun . so here are the properties of proper nouns . proper nouns are always capitalized . and that means tha... | are abstract nouns similar to proper nouns ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . | when is the next chapter noragami being released ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | so here are the properties of proper nouns . proper nouns are always capitalized . and that means that instead of using a little letter a like that , you would instead use a big letter a like that . | are the titles of the books always written with uppercase ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | if you 're talking about something general , it 's a common noun . if you 're talking about something specific , it 's a proper noun , and the difference between them is that you capitalize a proper noun . you can learn anything . | so , if i where to write a sentence about a math equation , 2x+5 for example , and i where to reference one of the terms , would that term be a proper noun ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | you could talk about a mountain , and that would be a common noun , because there are many mountains , but if you wanted to talk about a specific mountain , say mount kilimanjaro , in tanzania , that 's a proper noun . so here are the properties of proper nouns . proper nouns are always capitalized . and that means tha... | if you can have a proper noun , what are improper nouns ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | you could talk about a mountain , and that would be a common noun , because there are many mountains , but if you wanted to talk about a specific mountain , say mount kilimanjaro , in tanzania , that 's a proper noun . so here are the properties of proper nouns . proper nouns are always capitalized . and that means tha... | might be a stupid question but does every language in existence have nouns ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | and that is a lowercase , non-capitalized m , as opposed to this one , which is uppercase . so that 's the difference between common and proper nouns . if you 're talking about something general , it 's a common noun . if you 're talking about something specific , it 's a proper noun , and the difference between them i... | will boy be a propernoun or a common noun ? |
hello , grammarians . i 'd like to bring up the idea of the difference between a common and a proper noun . so the difference between a common and a proper noun is simply the difference between something with a name and a more generic version of that thing . i 'll give you a couple of examples right off the bat . so s... | you could talk about a mountain , and that would be a common noun , because there are many mountains , but if you wanted to talk about a specific mountain , say mount kilimanjaro , in tanzania , that 's a proper noun . so here are the properties of proper nouns . proper nouns are always capitalized . and that means tha... | is there any circumstances where you do n't capitalize proper nouns ? |
( lighthearted music ) : you 're looking at one of ed reinhardt 's black paintings but actually there is no black on this painting . what may first appear as an all over black square , actually is a grid . a three by three grid of well , nine squares and each square contains an intensely deep shade of either red , gre... | he relished the fact that these paintings are almost impossible to reproduce in photography . reinhardt was in the abstract expressionist circle . however the paint qualities that you associate with that movement are totally lacking in reinhardt , and there 's a reason for that . | if reinhardt did n't want to be clumped in with abstract expressionists , why was he ? |
( lighthearted music ) : you 're looking at one of ed reinhardt 's black paintings but actually there is no black on this painting . what may first appear as an all over black square , actually is a grid . a three by three grid of well , nine squares and each square contains an intensely deep shade of either red , gre... | perceiving this composition takes time , it takes patience and it takes attention . ad reinhardt was actually very , very interested in exactly those qualities for he 's not to purify art and the experience of it . reinhardt wanted to keep art and business totally separate . he relished the fact that these paintings ar... | ~- `` purify art '' - what was reinhardt 's view of `` purified '' art ? |
( lighthearted music ) : you 're looking at one of ed reinhardt 's black paintings but actually there is no black on this painting . what may first appear as an all over black square , actually is a grid . a three by three grid of well , nine squares and each square contains an intensely deep shade of either red , gre... | however the paint qualities that you associate with that movement are totally lacking in reinhardt , and there 's a reason for that . reinhardt was an oppositional figure . if he knew that he were lumped in with the abstract expressionists , he would cringe at the thought . ( lighthearted music ) ad reinhardt 's painti... | ~- why would reinhardt cringe at the idea of being associated with others of his genre ? |
( lighthearted music ) : you 're looking at one of ed reinhardt 's black paintings but actually there is no black on this painting . what may first appear as an all over black square , actually is a grid . a three by three grid of well , nine squares and each square contains an intensely deep shade of either red , gre... | what he would do next is this , he would open the jar and then pour off all of that solvent phase if you will or all that light part of the paint mixture . leaving behind only that sludge of paint . ( lighthearted music ) : because reinhardt has withdrawn so much medium from his paint , the resulting paint surfaces ar... | ~- acquiring the `` sludge of paint '' - would it not be possible to acquire this in a more expeditious manner ? |
( lighthearted music ) : you 're looking at one of ed reinhardt 's black paintings but actually there is no black on this painting . what may first appear as an all over black square , actually is a grid . a three by three grid of well , nine squares and each square contains an intensely deep shade of either red , gre... | he relished the fact that these paintings are almost impossible to reproduce in photography . reinhardt was in the abstract expressionist circle . however the paint qualities that you associate with that movement are totally lacking in reinhardt , and there 's a reason for that . | does anyone know if there are any images of any these artist pre-abstract expressionism ? |
let k equal six , so that f of x is equal to one over x-squared minus six x . find the partial fraction decomposition for the function f. find the integral of f of x d-x . and so let 's first thinl about the partial fraction decomposition for the function f. so , f of x , i could rewrite it where i factor the denomina... | and so let 's first thinl about the partial fraction decomposition for the function f. so , f of x , i could rewrite it where i factor the denominator . if i factor out an x , i get x times x minus six . so , i can rewrite this as ... and this is where i 'm going to decompose it into partial fractions . | could n't you use the natural log properties to simplify it to be 1/6ln abs ( x-6/x ) + c ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | delta y is equal to two when delta x is equal to one . so our change in y with respect to x at least for this tangent line here which would represent our change in y with respect to x right at that point is going to be equal to two over one , or two . and it 's almost estimated , but all of these are way off . | why ca n't we differentiate acceleration again with respect to time ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | what exactly is a derivative ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | as we increase , think of it this way as we increase x one here it looks like we are decreasing y by about one . so it looks like g prime of four g prime of four , the derivative when x is equal to four is approximately , i 'm estimating it negative one while the derivative here when we increase x if we increase x by i... | lim as x approaches toward zero , x * sin ( 1/x ) = 0 , how ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | is f ' ( 5 ) derivative of 5 or function of 5 ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | let 's do one more of these . so alright , so they 're telling us to compare the derivative of g at four to the derivative of g at six and which of these is greater and like always , pause the video and see if you can figure this out . well this is just an exercise let 's see if we were to if we were to make a line tha... | still unclear on this topic do we always have to take deltax as 1 ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | why the derivative of a horizontal line equals to 0 ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | so let me see if i can do that . so if i were to draw a line starting there if i just wanted to make a tangent it looks like it would do something like that . right at that point that looks to be about how steep that curve is now what makes this an interesting thing in non-linear is that it 's constantly changing the s... | so is it okay to draw any arbitrary tangent line ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | so alright , so they 're telling us to compare the derivative of g at four to the derivative of g at six and which of these is greater and like always , pause the video and see if you can figure this out . well this is just an exercise let 's see if we were to if we were to make a line that indicates the slope there yo... | is there any way to find the equation for a tangent line ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | and it 's almost estimated , but all of these are way off . having a negative two derivative would mean that as we increase our x our y is decreasing . so if our curve looks something like this we would have a slope of negative two . | what does derivative practically and literally mean ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | having a negative two derivative would mean that as we increase our x our y is decreasing . so if our curve looks something like this we would have a slope of negative two . if having slopes in this a positive of point one that would be very flat something down here we might have a slope closer to point one . | how do you know if the slope is positive or negative ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | delta y is equal to two when delta x is equal to one . so our change in y with respect to x at least for this tangent line here which would represent our change in y with respect to x right at that point is going to be equal to two over one , or two . and it 's almost estimated , but all of these are way off . | simply , when estimating with the tangent line the x is more important to find first , because we 're trying to estimate the rate of change to where the graph intersects the next x unit ? |
what i wan na do in this video is a few examples that test our intuition of the derivative as a rate of change or the steepness of a curve or the slope of a curve or the slope of a tangent line of a curve depending on how you actually want to think about it . so here it says f prime of five so this notation , prime th... | negative point one that might be closer on this side now we 're sloping but very close to flat . a slope of zero , that would be right over here at the bottom where right at that moment as we change x y is not increasing or decreasing the slope of the tangent line right at that bottom point would have a slope of zero .... | is the slope of the tangent line the derivative ( there 's only one tangent right ) ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | if we follow those final electrons , these electrons in blue , move off onto your carbonile . you would also form hcl by this , so you form hcl , which is also a gas , so the formation of these gases , the formation of sulfur dioxide and hcl drives the reaction to completion here . that was a long mechanism . | why is hcl a gas ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | i 'm going to show the chloride anion functioning as a nucleophile over here for this . it 's an acid-based reaction , so it 's possible to , once again , protonate your carbonile . that 's going to activate it . | if there is a nitrogen atom directly attached with the carbonyl carbon of the acid , whether this reaction will occour in that same mechanism ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | : here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | why are acyl chlorides called acid chlorides ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | what all this does is make a much better leaving group than what we started off with so you could think about this as our leaving group . this is a leaving group , and then the next step of the mechanism , and if we go back up here , that 's a much better leaving group than the oh that we started out with . if that 's ... | if the molecule is stable at that point , with the alcohol group as well as the oxygen-sulfur group , then why would the electrons from the -oh move back in to kick off the -os group and form a positively-charged oxygen ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | i 'm going to show the chloride anion functioning as a nucleophile over here for this . it 's an acid-based reaction , so it 's possible to , once again , protonate your carbonile . that 's going to activate it . | if there is a nitrogen atom directly attached with the carbonyl carbon of the acid whether the reaction will occur in the same mechanism ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | you get ineffective overlap of these orbitals here , and so that 's another reason why this is going to contribute to the overall structure . plus , you have these chlorines here , withdrawing some electron density from the sulfur , so chlorine is more electronegative than the sulfur , so that the end result of all thi... | will the mcat 2016 require extensive knowledge of these mechanisms or just end products ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | : here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | why does this video begin the mechanism from the double bond on the carboxylic acid , while in the previous video titled `` acid chloride formation '' the electrons from the oh acted to attack the socl2 ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | it is a little bit of a long one here . all right , let 's look at two other ways to make an acyl chloride , so starting with a carboxylic acid , you could add phosphorus , a pentachloride , or a phosphorus trichloride , and both of those will give you an acyl chloride as well . the mechanism is pretty similar and also... | why cl- ion is not behaving as a nucleophile and rather than making acyl chloride , it make 1,1dichloroalcohol ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | so for the next step , we could think about these electrons moving in here to form our double bond between oxygen and sulfur . that would kick off the chloride anion as a leaving group , and we know the chloride anion is an excellent leaving group because it 's stable on it 's own . when we draw the results of that , w... | how do you know which will be the leaving group , or what is going to be included in the leaving group ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | then we would have some electrons , and now let 's make a magenta , so these electrons in here are going to kick off onto the oxygen , so we could go ahead and draw that . we would have our oxygen . so we 'd have three loan pairs of electrons . | why did n't the hydrogen attached to the positive oxygen leave as a proton and attack the negatively charged hydrogen ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | that 's going to activate it . this carbon right here becomes more electrophilic , and that means that the chloride anion can function as a nucleophile and attack our electrophile since the chloride anion is n't a great nucleophile on it 's own , so if the chloride anion attacks here , that would push these electrons o... | why did n't the lone pair of carbon attached to the hydrogen , directly attack the positively charged sulphur ? |
: here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | : here 's a general structure for an acyl chloride , also called an acid chloride , and it 's a carboxylic acid derivative , so we can form them from carboxylic acid , so if we start with a carboxylic acid and add thionyl chloride , we can form our acyl chlorides , and we would also form a sulfur dioxide and hcl in th... | does the mechanism change if you deprotonate the carboxylic acid using pyridine ? |
( light jazz piano music ) we 're at the musee d'orsay and we 're looking at four of over 30 canvases that monet made of rouen cathedral , which is a little more than an hour 's drive north of paris . over two late winters and early springs 1892 and 1893 , he went to the space across from the cathedral and he did the... | ( light jazz piano music ) we 're at the musee d'orsay and we 're looking at four of over 30 canvases that monet made of rouen cathedral , which is a little more than an hour 's drive north of paris . over two late winters and early springs 1892 and 1893 , he went to the space across from the cathedral and he did the... | why do these cathedrals look so blurry ? |
( light jazz piano music ) we 're at the musee d'orsay and we 're looking at four of over 30 canvases that monet made of rouen cathedral , which is a little more than an hour 's drive north of paris . over two late winters and early springs 1892 and 1893 , he went to the space across from the cathedral and he did the... | there 's a lot of paint on these canvases , and so this is not something that was done quickly . monet was always interested in capturing the fleeting effects of something that he saw , but here it 's become the exact subject of the painting . the irony is that as he 's capturing something that 's fleeting , he takes ... | what is monet 's style of brushstrokes in this painting ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | so to get the 1 on the right-hand side let 's divide everything by 36 . if you divide everything by 36 , this term becomes x plus 3 squared over see 9 over 36 is the same thing as 1 over 4 , and then you have plus y minus 1 squared 4 over 36 is the same thing as 1 over 9 and all of that is equal to 1 . and there you go... | so ( x+3 ) ^2/4 equals 0 , ( y-1 ) ^2/9=0 , therefore ( x+3 ) ^2/4 + ( y-1 ) ^2/9 = 0 ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | if one of them has a negative number in front of them and the other one has a positive number , that tells you that we 're probably going to be dealing with a hyperbola . but with that said , i mean that might help you identify things very quickly at this level , but it does n't help you graph it or get into the standa... | can someone explain to me how you identify the a from the b ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | and then we divided both sides by this number right here and we got it into the standard form . we said oh this is an ellipse . we have both of these terms , they 're both positive , we 're adding we 're not subtracting , they have different coefficients underneath here . | how exactly , though , does sal know that it is an ellipse ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | and then we divided both sides by this number right here and we got it into the standard form . we said oh this is an ellipse . we have both of these terms , they 're both positive , we 're adding we 're not subtracting , they have different coefficients underneath here . | how do i know if an equation is representing an ellipse but not a circle ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | well we go up three and down three . the square root of this . let me do that . | should you take only the principal square root of the numbers at the end ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | well we go up three and down three . the square root of this . let me do that . | or should you also take the negative square root ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | this is the same thing , just to make that clear as if i added plus 81 right here . of course i would have had to add plus 81 up here . now let 's go to the y terms . | how would you find the domain and range of the graph ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | so let 's do a question like and let 's see if we can figure it out . so what i have here is 9x squared plus 4y squared plus 54x minus 8y plus 49 is equal to 0 . and once again , i mean who knows what this is it 's just not in the standard form . | why does n't sal factor out 9x and 4y ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | at what time does sal explain the way to identify the conic section based on the equation ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | what is the general procedure to determine the conic ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | is there a way to derive the end equation ( ) equation into y= form , so that you could put it into a graphing calculator ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | also , is there a way to identify the intercepts from the standard equation , or must you use a graphing calculator for those too ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | let me do that . remember you have to take the square root of both of those . the vertical axis is actually the major radius or the semi-major axis is 3 , because that 's the longer one . | what is an easy way to remember how to solve conic equations ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | and then we divided both sides by this number right here and we got it into the standard form . we said oh this is an ellipse . we have both of these terms , they 're both positive , we 're adding we 're not subtracting , they have different coefficients underneath here . | how to proof that ellipse is a conic section ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | and then we divided both sides by this number right here and we got it into the standard form . we said oh this is an ellipse . we have both of these terms , they 're both positive , we 're adding we 're not subtracting , they have different coefficients underneath here . | why was the equation an ellipse and not a hyperbola ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | but with that said , i mean that might help you identify things very quickly at this level , but it does n't help you graph it or get into the standard form . so let 's get it in the standard form . and the key to getting it in the standard form is really just completing the square . | when sal mentioned the standard form , is n't the standard form where a and b are not fractions ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | but with that said , i mean that might help you identify things very quickly at this level , but it does n't help you graph it or get into the standard form . so let 's get it in the standard form . and the key to getting it in the standard form is really just completing the square . | if yes , is n't sal 's standard form not a standard form ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | what y value makes this term 0 ? y is equal to 1 . that 's our center . | are you allowed to plot the ellipse when the two expressions are equal to a number other than 1 ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | and now we are getting close to the standard form of something , but remember all the standard forms we did except for the circle -- we had a y -- and we know this is n't a circle , because we have these weird coefficients , well not weird but different coefficients in front of these terms . so to get the 1 on the righ... | for example , can you plot ( x+3 ) 2 + ( x-1 ) 2 = 36 or must it be in standard form ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | so it 's going to be x is equal to minus 3 , and y is going to be equal to 1 . what y value makes this term 0 ? y is equal to 1 . | what if you have an `` xy '' term in the equation ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | this is the same thing , just to make that clear as if i added plus 81 right here . of course i would have had to add plus 81 up here . now let 's go to the y terms . | what would the foci of this equation be ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | so in the x direction we go two to the right . we go two to the left . and in the y direction , what do we do ? | if you have an equationin two variables , how can you quickly identify it as an equation for an ellipse , hyperbola or parabola ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | but with that said , i mean that might help you identify things very quickly at this level , but it does n't help you graph it or get into the standard form . so let 's get it in the standard form . and the key to getting it in the standard form is really just completing the square . | if you 're graphing an equation from standard form , what do the variables stand for ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | that is equal to -- let 's see if i subtract 50 from 85 i get 35 , so if i subtract 49 , i get 36 . and now we are getting close to the standard form of something , but remember all the standard forms we did except for the circle -- we had a y -- and we know this is n't a circle , because we have these weird coefficien... | do i have to memorize all the formulas for mathematical forms ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | so it 's going to be x is equal to minus 3 , and y is going to be equal to 1 . what y value makes this term 0 ? y is equal to 1 . | what happens if there is a xy term ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | what do you do when you have an equation that you need to identify the conic section such as 4x^2 - 9y^2=36 ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | but with that said , i mean that might help you identify things very quickly at this level , but it does n't help you graph it or get into the standard form . so let 's get it in the standard form . and the key to getting it in the standard form is really just completing the square . | how do we convert the following equation into standard form of an ellipse ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | so let 's get it in the standard form . and the key to getting it in the standard form is really just completing the square . and i encourage you to re-watch the completing the square video , because that 's all we 're going to do right here to get it into the standard form . | how do you determine what the key numbers are ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | plus 4 times y squared minus 2y i 'm probably going to add something here too , so i 'll leave it blank for now . plus 49 is equal to 0 . so what are we going to add here ? | ... how did sal know it was an ellipse ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | so to get the 1 on the right-hand side let 's divide everything by 36 . if you divide everything by 36 , this term becomes x plus 3 squared over see 9 over 36 is the same thing as 1 over 4 , and then you have plus y minus 1 squared 4 over 36 is the same thing as 1 over 9 and all of that is equal to 1 . and there you go... | now , during the step when sal changes 9 ( x^2+6x+9 ) +4 ( y^2-2y+1 ) +49=0 to 9 ( 3+x ) ^2+4 ( y-1 ) 2+49=85 , how did he do that ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | is there another word for conics ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | this is the same thing , just to make that clear as if i added plus 81 right here . of course i would have had to add plus 81 up here . now let 's go to the y terms . | would ellipses always be perfect squares ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | what are the exponents for 14 ? |
the standard question you often get in your algebra class is they will give you this equation and it 'll say identify the conic section and graph it if you can . and the equation they give you wo n't be in the standard form , because if it was you could just kind of pattern match with what i showed in some of the previ... | whatever we add here , we 're going to have to multiply it times 4 and add it on that side . if i put a 1 here , it 's really like as if i had a 4 here , because 1 times 4 is 4 and if i had a 1 here it 's 1 times 9 . so 9 there . | when we put x= -3 and y = 1 , , , , , does n't it make 0=1 ? |
: when you step back and look at the sociology content here , you might be wondering how in the world any of this applies to medicine . you might say , it has nothing to do with the physical health of a person , so why do you need to know all of this ? why do these social theories and social structures matter to someo... | if you take a look at medicine from the perspective of rational choice and exchange theories , you can observe big worldview issues of power . rational choice and exchange theory assume that people behave rationally according to their best interests . and that you can break down any social institution into the self-int... | is happiness not accounted for in rational exchange theory ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | it 's one over the natural log of eight . let 's write this in terms of u and du . this simplifies to one over the natural log of eight times the anti-derivative of e to the u , e to the u , that 's the u , du . | did sal forget to change the boundaries in terms of u ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | then we can apply , then we can take , we can evaluate the definite ones . let 's just think about this , let 's think about the indefinite integral of x squared times two to the x to the third power d x. i really want to find the anti-derivative of this . well this is going to be the exact same thing as the integral o... | 0 , why is n't the chain rule applied when taking the derivative of x^3ln ( 2 ) ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | let 's see , if this is u , where is du ? oh , and of course we ca n't forget the dx . this is a dx right over here , dx , dx , dx . | does n't the product rule of derivatives apply here ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | we know that the derivative with respect to x of e to the x is e to the x , or we could say that the anti-derivative of e to the x is equal to e to the x plus c. since i 'm dealing with something raised to , this particular situation , something raised to a function of x , it seems like i might want to put , i might wa... | how is e^ln2 =2 ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | the first thing , at least that my brain does , it says , `` i 'm used to taking derivatives and anti-derivatives of e to the x , not some other base to the x . '' we know that the derivative with respect to x of e to the x is e to the x , or we could say that the anti-derivative of e to the x is equal to e to the x pl... | could the exponential function be simplified back into the one given in the question , i.e ( e^ ( ln2 ( x^3 ) = ( 2^x^3 ) ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | let 's see , if this is u , where is du ? oh , and of course we ca n't forget the dx . this is a dx right over here , dx , dx , dx . where is the du ? | when taking the derivative of u , why do n't you isolate dx and plug what you get into the dx in the integral instead of trying to imagine a combination that will create du ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | we can do it like right over here , we could divide by natural log of eight . but we know that the anti-derivative of some constant times a function is the same thing as a constant times the anti-derivative of that function . we could just take that on the outside . | isnt the derivative of a constant 0 ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | well that 's going to be three x squared times the natural log of two , or three times the natural log of two times x squared . that 's just a constant times x squared . we already have a x squared here so maybe we can engineer this a little bit to have the constant there as well . | i thought ln ( 2 ) is a constant that goes away when differentiating for x ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | but we know that the anti-derivative of some constant times a function is the same thing as a constant times the anti-derivative of that function . we could just take that on the outside . it 's one over the natural log of eight . | can we take the constant out of definite integral ( multiply outside of the integral , not inside ) ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | oh , and of course we ca n't forget the dx . this is a dx right over here , dx , dx , dx . where is the du ? | i 'll explain : so y=2^x ln ( y ) =ln ( 2^x ) ln ( y ) =xln ( 2 ) then use implicit differentiation : 1/y * dy/dx=ln ( 2 ) dy/dx=y*ln ( 2 ) dy/dx=2^x*ln ( 2 ) that 's how i would find the derivative of 2^x , so would it be possible ( or i guess not too hard ) to use this method to find the antiderivative of this functi... |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | where is the du ? well we have a dx . let me circle things . | does the final answer `` 1/ln8 '' require the `` + c `` as well ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . | please answer my question .. what is i have the integration of x^2 from -2 to 2 ... and i wanted to solve it using substitution t=x^2 ..i will end up with these limits from 4 to 4 ..which will lead up to 0 ..how is this possible ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | we can do it like right over here , we could divide by natural log of eight . but we know that the anti-derivative of some constant times a function is the same thing as a constant times the anti-derivative of that function . we could just take that on the outside . | why does sal keep the ln 2 as part of the derivative if ln 2 is a constant ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | you might be saying , `` okay , look . `` maybe u substitution could be at play here . '' because i have this crazy expression , x to the third times the natural log of two , but what 's the derivative of that ? | instead of reversing the u-substitution , could n't we adjust the bounds of the original definite integral for u and calculate the definite integral from the expression with u ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | then we can apply , then we can take , we can evaluate the definite ones . let 's just think about this , let 's think about the indefinite integral of x squared times two to the x to the third power d x. i really want to find the anti-derivative of this . well this is going to be the exact same thing as the integral o... | shouldnt you take the derivative of ln2 after the derivative of x^3 ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | this simplifies to one over the natural log of eight times the anti-derivative of e to the u , e to the u , that 's the u , du . this times this times that is du , du . and this is straightforward , we know what this is going to be . | why did n't sal use the product rule for du ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | you might be saying , `` okay , look . `` maybe u substitution could be at play here . '' because i have this crazy expression , x to the third times the natural log of two , but what 's the derivative of that ? | is there no simpler substitution that could be made ? |
sal : let 's see if we can calculate the definite integral from zero to one of x squared times two to the x to the third power d x . like always i encourage you to pause this video and see if you can figure this out on your own . i 'm assuming you 've had a go at it . there 's a couple of interesting things here . the ... | you might be saying , `` okay , look . `` maybe u substitution could be at play here . '' because i have this crazy expression , x to the third times the natural log of two , but what 's the derivative of that ? | is there no simpler substitution that could be made ? |
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