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just like we can add , subtract , multiply , and divide numbers , we can also add , subtract , multiply , and divide functions . the sum of two functions part 1 : creating a new function by adding two functions let 's add $ { f ( x ) =x+1 } $ and $ { g ( x ) =2x } $ together to make a new function . $ \begin { align } ...
so we have : $ { h ( x ) } = { f ( x ) } + { g ( x ) } { =3x+1 } $ part 2 : evaluating a combined function we can also evaluate combined functions for particular inputs . let 's evaluate function $ h $ above for $ x=2 $ . below are two ways of doing this .
what is the difference between 'evaluate ' and 'solve ' in an equation ?
just like we can add , subtract , multiply , and divide numbers , we can also add , subtract , multiply , and divide functions . the sum of two functions part 1 : creating a new function by adding two functions let 's add $ { f ( x ) =x+1 } $ and $ { g ( x ) =2x } $ together to make a new function . $ \begin { align } ...
let 's practice . problem 3 the graphs of $ y=f ( x ) $ and $ y=g ( x ) $ are shown below . other ways to combine functions all of the examples we 've looked at so far create a new function by adding two functions , but you can also subtract , multiply , and divide two functions to make new functions !
how does f ( 3 ) become 6 without looking at the graph ?
just like we can add , subtract , multiply , and divide numbers , we can also add , subtract , multiply , and divide functions . the sum of two functions part 1 : creating a new function by adding two functions let 's add $ { f ( x ) =x+1 } $ and $ { g ( x ) =2x } $ together to make a new function . $ \begin { align } ...
problem 3 the graphs of $ y=f ( x ) $ and $ y=g ( x ) $ are shown below . other ways to combine functions all of the examples we 've looked at so far create a new function by adding two functions , but you can also subtract , multiply , and divide two functions to make new functions ! for example , if $ f ( x ) =x+3 $ ...
what is the exact application of functions in real life ?
striding atop a mountain peak wearing a look of determination on his face , chairman mao en route to anyuan shows a young mao zedong ( chinese communist revolutionary , founding father of the people 's republic of china , and leader of china from 1949-76 ) ready to weather any storm . in picturing a moment in chinese c...
as a prominent icon in the cultural revolution , chairman mao en route to anyuan celebrated the grassroots nature of revolutionary history and cultivated devotion to mao during a tumultuous time . as a brilliant example of chinese communist party propaganda , it was reportedly reproduced over nine hundred million times...
`` ... reproduced over nine hundred million times '' , eh ?
striding atop a mountain peak wearing a look of determination on his face , chairman mao en route to anyuan shows a young mao zedong ( chinese communist revolutionary , founding father of the people 's republic of china , and leader of china from 1949-76 ) ready to weather any storm . in picturing a moment in chinese c...
modeled after works in the soviet union , paintings in this style were rendered in oil on canvas . they notably departed from chinese hanging scrolls in ink and paper , such as li keran ’ s ten thousand crimson hills , painted in 1964 ( left ) . standardized by the central propaganda department , mao paintings typicall...
was the goal to put a reproduction of the artwork in the hands of each and every living chinese citizen ?
striding atop a mountain peak wearing a look of determination on his face , chairman mao en route to anyuan shows a young mao zedong ( chinese communist revolutionary , founding father of the people 's republic of china , and leader of china from 1949-76 ) ready to weather any storm . in picturing a moment in chinese c...
striding atop a mountain peak wearing a look of determination on his face , chairman mao en route to anyuan shows a young mao zedong ( chinese communist revolutionary , founding father of the people 's republic of china , and leader of china from 1949-76 ) ready to weather any storm . in picturing a moment in chinese c...
why do you think the artist put it there ?
striding atop a mountain peak wearing a look of determination on his face , chairman mao en route to anyuan shows a young mao zedong ( chinese communist revolutionary , founding father of the people 's republic of china , and leader of china from 1949-76 ) ready to weather any storm . in picturing a moment in chinese c...
striding atop a mountain peak wearing a look of determination on his face , chairman mao en route to anyuan shows a young mao zedong ( chinese communist revolutionary , founding father of the people 's republic of china , and leader of china from 1949-76 ) ready to weather any storm . in picturing a moment in chinese c...
what is the function of this image ?
striding atop a mountain peak wearing a look of determination on his face , chairman mao en route to anyuan shows a young mao zedong ( chinese communist revolutionary , founding father of the people 's republic of china , and leader of china from 1949-76 ) ready to weather any storm . in picturing a moment in chinese c...
painted in 1967 at the dawn of the great proletarian cultural revolution , this work uses socialist realism to portray chairman mao as a revolutionary leader committed to championing the common people . socialist realism and mao paintings during the cultural revolution ( 1966-76 ) , artists focused on creating portrait...
what is mao carrying in the painting ?
overview the nineteenth amendment to the us constitution was ratified on august 18 , 1920 . it declares that “ the right of citizens of the united states to vote shall not be denied or abridged by the united states or by any state on account of sex . congress shall have power to enforce this article by appropriate legi...
congress shall have power to enforce this article by appropriate legislation. ” the amendment , which granted women the right to vote , represented the pinnacle of the women ’ s suffrage movement , which was led by the national american woman suffrage association ( nawsa ) . in their decades-long struggle for female en...
why did n't the women 's suffrage movement pushed more or made more prevalent ?
overview the nineteenth amendment to the us constitution was ratified on august 18 , 1920 . it declares that “ the right of citizens of the united states to vote shall not be denied or abridged by the united states or by any state on account of sex . congress shall have power to enforce this article by appropriate legi...
why do you think african american men gained the right to vote decades before women did ? how do you think the nineteenth amendment affected minority women ? consider the map of women 's voting rights before 1920 .
do we still have the nineteenth amendment ?
overview the nineteenth amendment to the us constitution was ratified on august 18 , 1920 . it declares that “ the right of citizens of the united states to vote shall not be denied or abridged by the united states or by any state on account of sex . congress shall have power to enforce this article by appropriate legi...
not until 1914 was another constitutional amendment for women 's rights considered , and again rejected , by the senate . the following year , carrie chapman catt , who had succeeded susan b. anthony as head of the national american woman suffrage association in 1900 , launched an effort to link the drive for female su...
how old was carrie chapman catt ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
it might be easiest to understand this relationship by taking a look at the two ppfs below . when a country can produce a good at a lower opportunity cost than another country , we say that this country has a comparative advantage in that good . in our example , brazil has comparative advantage in sugar cane , and the ...
what happens if country a can produce more computers and tires than country b can ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
the specific choice along a ppf that reflects the mix of goods society most desires is the choice with allocative efficiency . when a country 's opportunity cost for a specific good is lower than another country 's , we say that the country has comparative advantage for that good . introduction if you 've ever been to ...
obviously country a has absolute advantage in both , but how do you calculate which country has comparative advantage for computers and which for tires ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
total production can increase if countries specialize in the goods they have comparative advantage in and trade some of their production to other countries for other goods . self-check questions let 's return to our hypothetical society that must choose between healthcare and education . suppose there is an improvement...
in the 3rd self-check answer , what does `` slope of the constraint '' mean ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
review questions what is comparative advantage ? what does a production possibilities frontier illustrate ? why is a production possibilities frontier typically drawn as a curve , rather than a straight line ?
what is the characteristic of the production possibility frontier that makes a diminishing return possible ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
it is clear that productive inefficiency is a waste since resources are being used in a way that produces fewer goods and services than a nation is capable of producing . why is allocative inefficiency also wasteful ?
how is allocative inefficiency wasteful ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
the specific choice along a ppf that reflects the mix of goods society most desires is the choice with allocative efficiency . when a country 's opportunity cost for a specific good is lower than another country 's , we say that the country has comparative advantage for that good . introduction if you 've ever been to ...
like a developed country vs. developing country type of scenario ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
what is productive efficiency ? allocative efficiency ? critical thinking questions during the second world war , germany ’ s factories were decimated .
is allocative efficiency basically an equilibrium , then ?
key points a production possibilities frontier , or ppf , defines the set of possible combinations of goods and services a society can produce given the resources available . choices outside the ppf are unattainable , and choices inside the ppf are wasteful . the law of diminishing returns holds that as additional reso...
review questions what is comparative advantage ? what does a production possibilities frontier illustrate ? why is a production possibilities frontier typically drawn as a curve , rather than a straight line ?
what are the major assumption used in the production possibility frontier model ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
war-related art also had many purposes , whether to document , commemorate , appeal , revise , expose , obscure , or protest . the conflict between real and ideal propaganda posters often urged men to enlist in the british army by appealing to ideals of masculinity , heroism , pride , and loyalty . these widely circula...
the above sentence triggered some questions in my mind : in order for imagery to be described as `` propaganda '' , must it be false ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
these widely circulated posters relied on a viewer ’ s positive response to imagery of healthy , stalwart soldiers or emblems of the british nation . a propaganda poster asks its viewer to identify with what is depicted , which usually concerns political , gender , and/or social identity . as part of making such an app...
in other words , could an image depict truths and still be considered propaganda ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
they questioned the solidity of the bond between representation and meaning . works like t.s . eliot ’ s poem , `` the waste land , '' mark gertler ’ s merry-go-round ( above ) , or virginia woolf ’ s mrs. dalloway sought to shock , alienate , or provoke audiences and to thereby explore new sensory and intellectual eff...
is propaganda , like art , judged via the `` eye of the beholder '' or is there something more objective with regards to how we can look at `` propaganda '' ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
vera brittain , who volunteered as a nurse , recorded her impressions of work and loss in her memoir , testament of youth , one of the war ’ s most recognized autobiographical works . women artists documented other civilian realities such as female workers in factories—doing jobs vacated by men in the military— who had...
did this painting become famous very easily or did it become famous in the recent 2000 's ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
here is chaos , irrevocable change , and devastation . carrying poetry to war first world war literature also presents a range of perspectives . rupert brooke ’ s patriotic ‘ 1914 ’ sonnet sequence became hugely popular in the early years of the war .
was n't all of this is just mere propaganda to raise support and morale for the british during the war ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
here is chaos , irrevocable change , and devastation . carrying poetry to war first world war literature also presents a range of perspectives . rupert brooke ’ s patriotic ‘ 1914 ’ sonnet sequence became hugely popular in the early years of the war .
was flora lion involved with the war effort ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
though the piece has an idealistic-sounding title , we shudder at the sight of two dead soldiers lying in the battlefield mud . we can not identify with , or even identify these soldiers at all . their faces are obscured and their bodies merge with the murky earth , suggesting the loss of identity and the waste of youn...
is n't it possible we are supposed to identify with the painter and his experience of war ?
a brief introduction to wwi and its representation when shots rang out in sarajevo on june 28 , 1914 , europe began hurtling towards one of the deadliest conflicts the world has ever seen . gavrilo princip ’ s assassination of austro-hungarian archduke franz ferdinand and his wife , sophie , brought long-brewing politi...
in fact , we could say that british artists and writers witnessed and experienced different wars even though only one conflict is recorded in history . war-related art also had many purposes , whether to document , commemorate , appeal , revise , expose , obscure , or protest . the conflict between real and ideal propa...
do service members and veterans lack some essential quality to appreciate art ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
( just kidding ) . scientists can use photoelectron spectroscopy ( pes ) to experimentally determine the energy it takes to remove electrons from atoms and molecules . the basics of photoelectron spectroscopy the physical phenomenon behind photoelectron spectroscopy is similar to the photoelectric effect .
how can we use this technique to determine an unknown compound say ax ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
in the third paragraph , how the energy analyzer `` count '' number of electrons correspond with one determined ionization energy ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
this is called the binding energy of the electron , and the binding energies depend on the chemical structure and elemental composition of a sample . let 's now examine the relationship between kinetic energy and binding energy in more detail . the relationship between binding energy and kinetic energy of photoelectron...
when analyzing the binding energy of an element , does it matter what type of ionizing energy is first used to eject the electron ( s ) from a sample ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
$ 2 $ . x-ray photoelectron spectroscopy ( xps ) because x-rays are higher in frequency and energy than uv rays , shining them on a sample can provide enough energy to eject core electrons . core electrons are inner-shell electrons that are closer to the nucleus , and thus require more energy to remove compared to vale...
for example if you first bombarded a sample with xps ( according to the description under the subtitle `` the basics of photoelectron spectroscopy '' this would in theory eject the core electrons ) would this alter the binding energy data ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
this is called the binding energy of the electron , and the binding energies depend on the chemical structure and elemental composition of a sample . let 's now examine the relationship between kinetic energy and binding energy in more detail . the relationship between binding energy and kinetic energy of photoelectron...
for the definition of binding energy , is it safe to say ( in this case ) that binding energy is equal/same as ionization energy ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
this is called the binding energy of the electron , and the binding energies depend on the chemical structure and elemental composition of a sample . let 's now examine the relationship between kinetic energy and binding energy in more detail . the relationship between binding energy and kinetic energy of photoelectron...
is there anything wrong with assuming this definition and the binding energy-ionization energy relation ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
this is called the binding energy of the electron , and the binding energies depend on the chemical structure and elemental composition of a sample . let 's now examine the relationship between kinetic energy and binding energy in more detail . the relationship between binding energy and kinetic energy of photoelectron...
i 'm curious - is there a way that a travelling electron can further increase its kinetic energy ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
the energy required to eject a given electron from the atom is known as the binding energy . core electrons have larger binding energies than valence electrons , because core electrons are closer to the nucleus and thus have a stronger attraction to the nucleus . electrons will only be ejected from atoms if the energy ...
what is meant by `` the nucleus is shielded '' ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
x-ray photoelectron spectroscopy ( xps ) because x-rays are higher in frequency and energy than uv rays , shining them on a sample can provide enough energy to eject core electrons . core electrons are inner-shell electrons that are closer to the nucleus , and thus require more energy to remove compared to valence elec...
is the force between the valence electrons & the nucleus the same but because there are inner shells between them , you need to factor in that repulsion between the electrons ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
as we analyze the spectrum , let 's keep in mind oxygen 's ground-state electron configuration : $ \text { 1s } ^2\text { 2s } ^2\text { 2p } ^4 $ . in this spectrum , we have $ 3 $ different peaks representing electrons in $ 3 $ different subshells . starting with the highest binding energy peak , the peak at $ 52.6\t...
why do different atoms have different peaks for the first sublevel ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
this is called the binding energy of the electron , and the binding energies depend on the chemical structure and elemental composition of a sample . let 's now examine the relationship between kinetic energy and binding energy in more detail . the relationship between binding energy and kinetic energy of photoelectron...
and if no then ionisation energy is measured only in gaseous state ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons .
what happens to the metal after it cools down ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
ultraviolet photoelectron spectroscopy ( ups ) illuminating a sample with ultraviolet ( uv ) light will typically ionize the material by ejecting valence electrons . valence electrons reside in the outermost shells of an atom . due to shielding by the core electrons , the valence electrons feel a reduced attraction to ...
do the electrons go back to the metal or does the metal just stays without the electrons ?
key points photoelectron spectroscopy is an experimental method used to determine the electronic structure of atoms and molecules . photoelectron spectrometers ionize samples by bombarding them with high-energy radiation , such as uv or x-rays , and detecting the number and kinetic energy of ejected electrons . the fre...
this is called the binding energy of the electron , and the binding energies depend on the chemical structure and elemental composition of a sample . let 's now examine the relationship between kinetic energy and binding energy in more detail . the relationship between binding energy and kinetic energy of photoelectron...
what 's the difference between ionisation energy and binding energy ?
how do i find absolute minimum & amp ; maximum points with differential calculus ? an absolute maximum point is a point where the function obtains its greatest possible value . similarly , an absolute minimum point is a point where the function obtains its least possible value . supposing you already know how to find r...
check out this video . finding absolute extrema on a closed interval extreme value theorem tells us that a continuous function must obtain absolute minimum and maximum values on a closed interval . these extreme values are obtained , either on a relative extremum point within the interval , or on the endpoints of the i...
but for absolute extrema , you must also plug in the endpoints into the original equation and that also determines if the function is increasing or decreasing ?
how do i find absolute minimum & amp ; maximum points with differential calculus ? an absolute maximum point is a point where the function obtains its greatest possible value . similarly , an absolute minimum point is a point where the function obtains its least possible value . supposing you already know how to find r...
let 's find , for example , the absolute extrema of $ h ( x ) =2x^3+3x^2-12x $ over the interval $ -3\leq x\leq 3 $ . $ h ' ( x ) =6 ( x+2 ) ( x-1 ) $ , so our critical points are $ x=-2 $ and $ x=1 $ . they divide the closed interval $ -3\leq x\leq 3 $ into three parts : interval | $ x $ -value | $ h ' ( x ) $ | verdi...
for the second question , why only `` g ' ( x ) = 0 for x = e '' is taken into consideration for critical point calculation ?
how do i find absolute minimum & amp ; maximum points with differential calculus ? an absolute maximum point is a point where the function obtains its greatest possible value . similarly , an absolute minimum point is a point where the function obtains its least possible value . supposing you already know how to find r...
let 's find , for example , the absolute extrema of $ h ( x ) =2x^3+3x^2-12x $ over the interval $ -3\leq x\leq 3 $ . $ h ' ( x ) =6 ( x+2 ) ( x-1 ) $ , so our critical points are $ x=-2 $ and $ x=1 $ . they divide the closed interval $ -3\leq x\leq 3 $ into three parts : interval | $ x $ -value | $ h ' ( x ) $ | verdi...
why the condition `` g ' ( x ) is undefined for x = 0 '' has not been taken into consideration ?
how do i find absolute minimum & amp ; maximum points with differential calculus ? an absolute maximum point is a point where the function obtains its greatest possible value . similarly , an absolute minimum point is a point where the function obtains its least possible value . supposing you already know how to find r...
supposing you already know how to find relative minima & amp ; maxima , finding absolute extremum points involves one more step : considering the ends in both directions . want to learn more about absolute extrema and differential calculus ? check out this video .
how do i determine if there are global extrema based on the sign chart ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
as a result , vigilante groups of miners , settlers , and loggers formed to track down and exterminate california ’ s native population , which by 1890 had been almost completely decimated. $ ^4 $ though the gold rush had a transformative effect on california ’ s landscape and population , it lasted for a surprisingly ...
what was the chance of a gold miner to strike gold ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
what do you think ? how did the gold rush reshape the demographics of california ? if you had lived in this time period , would you have participated in the gold rush ?
and how did the gold rush ended ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population .
if the forty-niners lived in such conditions and knew that gold was only in trace amounts , why did they stay and look for `` the mother load '' ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
improvements in steamship and railroad technology facilitated this migration , which dramatically reshaped the demographics of california . in 1849 , california established a state constitution and government , and formally entered the union in 1850. $ ^2 $ life as a forty-niner though migration to california was fuele...
what were these areas of the continent before they entered the union ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
the gold rush was characterized by violent clashes among settlers , miners , and native americans over access to the land and its natural resources . the california gold rush on january 8 , 1848 , james w. marshall , overseeing the construction of a sawmill at sutter ’ s mill in the territory of california , literally ...
in paragraph 1 , why was james marshall working in jhon sutter 's mill ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
as a result , vigilante groups of miners , settlers , and loggers formed to track down and exterminate california ’ s native population , which by 1890 had been almost completely decimated. $ ^4 $ though the gold rush had a transformative effect on california ’ s landscape and population , it lasted for a surprisingly ...
was mining for gold the most common job in the san francisco area when the gold mine hit ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
what do you think ? how did the gold rush reshape the demographics of california ? if you had lived in this time period , would you have participated in the gold rush ?
why did the gold rush end in 1855 ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
as a result , vigilante groups of miners , settlers , and loggers formed to track down and exterminate california ’ s native population , which by 1890 had been almost completely decimated. $ ^4 $ though the gold rush had a transformative effect on california ’ s landscape and population , it lasted for a surprisingly ...
what did many gold diggers find during the gold rush in the west ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
in 1849 , california established a state constitution and government , and formally entered the union in 1850. $ ^2 $ life as a forty-niner though migration to california was fueled by gold-tinted visions of easy wealth and luxury , life as a forty-niner could be brutal . while a small number of prospectors did become ...
why were rich people so gready and why did n't they help the ones in need ?
overview the 1848 discovery of gold in california set off a frenzied gold rush to the state the next year as hopeful prospectors , called “ forty-niners , ” poured into the state . this massive migration to california transformed the state ’ s landscape and population . the gold rush was characterized by violent clashe...
as a result , vigilante groups of miners , settlers , and loggers formed to track down and exterminate california ’ s native population , which by 1890 had been almost completely decimated. $ ^4 $ though the gold rush had a transformative effect on california ’ s landscape and population , it lasted for a surprisingly ...
what does gold panning involve ?
music in the tuileries the writer emile zola described manet as “ an analytic painter ” and rarely are his powers of analysis displayed more dazzlingly than in music in the tuileries gardens . first exhibited in 1862 at manet ’ s one-man show in the galerie martinet , the chorus of gibes it was met with was to set the ...
we might expect him to be more clearly depicted . that he isn ’ t suggests the deepth of the affinity between these two men . by chance it is fantin-latour who has caught our eye and not baudelaire .
would n't the more nature interpretation be that a blurred out face suggests a depth of antipathy or hatred between the two men manet and baudelaire ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
why is jade valued so much if it changes colour if you wear it ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
how exactly did the people in neolithic times carve jade into such fine shapes ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
why is the jade special to them ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
are certain shades of jade more valuable than others ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
since the english word `` jade '' actually represents several different types of minerals as said in the first paragraph , are different types of jade valued more highly than others ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color .
second question : are jadeite and nephrite even more valuable than the other minerals because the chinese , not just the english , consider them to be jade ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
is jade rarer then gold ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
the subtle variety of colors and textures of this exotic stone can be seen , as well as the many different types of carving , ranging from long , smooth neolithic blades to later plaques , ornaments , dragons , animal and human sculpture . neolithic jade : hongshan culture it was long believed that chinese civilization...
where is the yellow river located in asia ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
what were some of the other magical attributes of jade besides preventing decay in death ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
is it true that for some people , jade brings luck ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
how much money would the jade cost more than 1,000,000,000 or less ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
how brittle is jade , and how rare is it ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
recent archaeological finds in many parts of china have revealed not only the antiquity of the skill of jade carving , but also the extraordinary levels of development it achieved at a very early date . jade was worn by kings and nobles and after death placed with them in the tomb . as a result , the material became as...
or does it preserve well because inside of a tomb it is n't exposed ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
how accessible was jade to commoners ?
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite . chemically nephrite is a calcium magnesium silicate and is white in color . however...
what is jade ? the english term `` jade '' is used to translate the chinese word yu , which in fact refers to a number of minerals including nephrite , jadeite , serpentine and bowenite , while jade refers only to nephrite and jadeite .
would it be a rare sight to see someone in a remote village with even a small piece of jewelry or utensil made of jade ?
let us assume this : that there is life in everything , and that living continues long after death . certainly , we humans are alive ; as are dogs , cats , lizards , fish , trees , and birds . but so too are rivers , forests , stones , boats , buildings , and even computers . all these lives and many more have one qual...
to see this agency in action requires we look closely at the socioecological context out of which malagan come to life . new ireland new ireland is a narrow , tropical island only a few degrees south of the equator . there are two primary seasons : a hot and dry period lasting from march to around november , and a rain...
what names do the indigenous peoples of new ireland call their island ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
muwatalli also claimed victory because he didn ’ t lose kadesh . the treaty of kadesh—the first peace treaty—was an important document because it showed the ability of large civilizations to determine whether or not they were at war with each other. $ ^5 $ what do you think ? what do the battle of kadesh and the treaty...
is the peace treaty focussing on settling the military conflict , stopping invasions and securing the borderline or does it look forward to do bi-lateral trade between the two `` equal '' civilizations ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
after about 1180 bce , the empire ended and splintered into several independent neo-hittite—new hittite—city-states , some of which survived until the eighth century bce . the hittite language was a member of indo-european , a family of related languages that today are widely spoken in the americas , europe , and weste...
what does the article mean by `` hittites are so named because of their initial identification with the biblical hittites , are they not identified with/as the biblical hittites anymore ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
the details of hittite life and culture we ’ ve learned seem to be slight variations on those of the hatti . but we don ’ t know the exact nature of the relationship between these two groups given the small number of primary sources that have been found. $ ^4 $ religion storm gods were prominent in the hittite pantheon...
how do they differ from 'normal ' gods ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
for example , the chief of the royal bodyguards , the chief of the scribes—who was in charge of bureaucracy—and even the chief of the wine stewards ! the actual day-to-day life and culture of the hittites is mysterious because the written documents from this culture deal mainly with the kings and their campaigns . it i...
was there something similar to the rosetta stone that helped translate the hittites ' written language ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
muwatalli also claimed victory because he didn ’ t lose kadesh . the treaty of kadesh—the first peace treaty—was an important document because it showed the ability of large civilizations to determine whether or not they were at war with each other. $ ^5 $ what do you think ? what do the battle of kadesh and the treaty...
who wrote the treaty and how did the rulers come to such an agreement ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the hittites ’ ongoing conflicts with egypt produced the world ’ s first known peace treaty . the hittites were an ancient gr...
did the egyptians and hittites keep the peace treaty ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
the hittite language was a member of indo-european , a family of related languages that today are widely spoken in the americas , europe , and western and southern asia. $ ^1 $ hittites are so named because of their initial identification with the biblical hittites , according to nineteenth-century archaeology . the hi...
who were the sea people ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
this battle is especially important because both sides claimed victory , which led to the first known peace treaty in the history of the world , in 1258 bce . conflict between hittites and egyptians the hittites had been making headway into the egyptian empire and had caused trouble for the pharaoh tutmoses iii . phara...
was it the break up of the hittites , which caused a complete overthrow of all previous relationships ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
both civilizations boasted strong state power and the ability to send troops to war in order to fight for control over their empires . aftermath ramesses claimed a great victory for egypt : he had defeated his enemy in battle . muwatalli also claimed victory because he didn ’ t lose kadesh . the treaty of kadesh—the fi...
how could ramesses claim victory if the hittites could keep kadesh ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
it is known that the hittites wrote using akkadian script but in their own indo-european language and used cylinder seals to sign documents and mark property as people did throughout mesopotamia , suggesting a link between the two cultures . however , hittites may have learned about mesopotamian customs through the hat...
what was the hittites religion ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
but we don ’ t know the exact nature of the relationship between these two groups given the small number of primary sources that have been found. $ ^4 $ religion storm gods were prominent in the hittite pantheon—the set of all the gods in a polytheistic religion . tarhunt was referred to as the conqueror , the king of ...
how do people set these boundaries so that they know which land is their land ?
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods . the...
overview the hittites were an ancient anatolian ( modern-day turkey ) people who formed an empire between 1600-1180 bce . the hittites manufactured advanced iron goods , ruled over their kingdom through government officials with independent authority over various branches of government , and worshipped storm gods .
my question is , how ?
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
are these holes symbolic decoration or was something attached to the mouth area ?
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
the identification and function of this head , in common with the others discovered at this site , remain uncertain . its elaborate beaded headdress , possibly representing a crown , suggest that it was associated with an ooni , a ruler of ife . other sites have revealed spectacular pieces with royal associations , inc...
how did they know that the headdress represents the ruler of ife ?
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
other sites have revealed spectacular pieces with royal associations , including the only known complete king figure and an exquisite terra-cotta head , possibly portraying a queen both from ita yemoo . ife today today ife remains a major spiritual and religious centre for the yoruba people . some of its shrines and gr...
in this picture what are artistic major developments ?
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
the `` ori olokun '' head was chosen as the logo for the all-africa games held in lagos in 1973 and has been adopted as the logo of numerous commercial , educational and financial institutions . such images have become universal symbols of african heritage . © trustees of the british museum
what are characteristics of west african sculpture ?
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
other sites have revealed spectacular pieces with royal associations , including the only known complete king figure and an exquisite terra-cotta head , possibly portraying a queen both from ita yemoo . ife today today ife remains a major spiritual and religious centre for the yoruba people . some of its shrines and gr...
are the characteristics of ife sculptures the characteristics of west african sculpture ?
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
are the lines on the face a form of scarification ?
ife ( pronounced ee-feh ) is today regarded as the spiritual heartland of the yoruba people living in nigeria , the republic of benin and their many descendants around the world . it is rightly regarded as the birthplace of some of the highest achievements of african art and culture , combining technical accomplishment...
ife was home to many sacred groves located in the city ’ s forests . two groves in particular have revealed numerous sculptures : the ore grove with its stone monoliths , human and animal figures and the iwinrin grove which is associated with terra-cotta heads and fragments from life-size figures . the identification a...
i sthe stone reprusenting an old man and a kid or just one of the two ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
so africans traded them from europeans and learned to make them for themselves , to help them in their wars against other peoples who still only had hand weapons or bows and arrows . sometimes the king of benin even employed portuguese soldiers , like this man , to fight as mercenaries in his wars . figures of european...
can you point out any specific war these mercenaries helped the benin people in ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of benin city , which gave such splendor to the king ’ s palace . the portuguese found a ready market for b...
are there more images of brass figures of portuguese soldiers that were made in africa ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
does benin and the portuguese still trade as partners , or are they forced to ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of benin city , which gave such splendor to the king ’ s palace . the portuguese found a ready market for b...
excrypt from paragraph 1 : the portuguese found a ready market for brass ingots , often made in the form of bracelets called `` manillas '' did manilla paper get it 's name from these ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
these were made in the low countries ( modern holland ) , traded throughout west africa as a kind of currency , and melted down by the brass workers of benin . when the portuguese arrived in benin , nigeria , in the fifteenth century , they quickly started trading brass and copper for pepper , cloth , ivory and slaves ...
so if brass , an alloy of copper and zinc , was used as the prefered medium for sculpture and metal work , why would the copper manillas be worth more ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
am i making an incorrect assumption that brass was the more popular metal for use ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
it would seem to me , with benin 's small industry , and assumingly equally small access to zinc , would it not make more sense to acquire the complete alloy , then recast , rather than make it themselves ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
is n't brass used in instruments ?
brass trade with the portuguese probably encouraged the growth of brass casting in benin at this time . although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of ...
although west africans invented the smelting of copper and zinc ores and the casting of brass at least as long ago as the 10th century , they themselves did not produce enough metal to supply the casting industry of benin city , which gave such splendor to the king ’ s palace . the portuguese found a ready market for b...
are the brass castings all one of a kind due to the method in which it was made ?