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j814wong
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Use the intermediate value theorem to show that the equation e^(x)=x has at least one real solution.
 one year ago
 one year ago
j814wong Group Title
Use the intermediate value theorem to show that the equation e^(x)=x has at least one real solution.
 one year ago
 one year ago

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asnaseer Group TitleBest ResponseYou've already chosen the best response.0
@j814wong  do you know what the intermediate value theorem states?
 one year ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
Sorry for the late reply. Yes. If f is continuous on a closed interval [a,b] and k is any number between f(a) and f(b), inclusive, then there is at least one number x in the interval [a,b] such that f(x)=k That's the formal definition as opposed to the one I'd give on teh spot.
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
this is what you do consider \(e^{x}x\) on the interval say \([0,1]\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
at \(x=0\) you get 1 at \(x=1\) you get \(\frac{1}{e}1\) since 1 is positive, and \(\frac{1}{e}1\) is negative, by the ivt it must be zero somewhere in between 0 and 1
 one year ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
What does the \ mean?
 one year ago
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