The purpose of this question is to practice using logarithms to find critical values. Since In...

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The purpose of this question is to practice using logarithms to find critical values. Since In z is an increasing function, the critical values of any function f(z) occur at the same place as the critical values of In (f(x)). In this question you'll find the critical values of a function without using logarithms, then you'll find the critical values using logarithms. Assume for these questions that the domain is 0 < p< 1. Note that you are asked for a critical value, so your answer should be a value for p, not L(p). • Find the critical values of the function L(p) = p²(1 − p)¹- by finding where L' (p) = 0. • Find the critical values of the function In (L(p)). Confirm you get the same result is in the previous part. The purpose of this question is to practice using logarithms to find critical values. Since In z is an increasing function, the critical values of any function f(z) occur at the same place as the critical values of In (f(x)). In this question you'll find the critical values of a function without using logarithms, then you'll find the critical values using logarithms. Assume for these questions that the domain is 0 < p< 1. Note that you are asked for a critical value, so your answer should be a value for p, not L(p). • Find the critical values of the function L(p) = p²(1 − p)¹- by finding where L' (p) = 0. • Find the critical values of the function In (L(p)). Confirm you get the same result is in the previous part.

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Solution is This is the required solution L P p 1p 2 ln p lnp ... View the full answer