Use the Extreme Value Theorem to show that each of the following functions has a positive maximum

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Use the Extreme Value Theorem to show that each of the following functions has a positive maximum on the interval 0 ≤ x ≤ 1.
1. f(x) = x(x - 1)ex.
2. f(x) = ex - xex.
3. f(x) = 5x(l - x)(2 - x) - 1.
4. f(x) = 8x(l - x)2 - 1.

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Modeling the Dynamics of Life Calculus and Probability for Life Scientists

ISBN: 978-0840064189

3rd edition

Authors: Frederick R. Adler

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Question Posted: Apr 14, 2016 05:57 AM

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Use the Extreme Value Theorem to show that each of the following functions has a positive maximum

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1 f0 f1 0 and fx 0 for 0 x 1 Therefore there must ...View the full answer

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

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