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Given the equation f(x) = (e^{-x} = x^3), where x elemnent of R Prove that the equation f(x) has a solution between 0 and 1, and prove that the equation f(x) does not have more than this one solution on the whole R.

Given the equation f(x) = (e^{-x} = x^3), where x elemnent of R Prove that the equation f(x) has a solution between 0 and 1, and prove that the equation f(x) does not have more than this one solution on the whole R.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Given the equation f(x) = (e^{-x} = x^3), where x elemnent of R

Prove that the equation f(x) has a solution between 0 and 1, and prove that the equation f(x) does not have more than this one solution on the whole R.

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