A graphing calculator is recommended. A function is given. U(x) = x \ 9х — х2 (a) Find the local maximum value of the function and the value of x at which this occurs. State the answer rounded to two decimal places. (х, у) %3 (b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer rounded to two decimal places. (Enter your answers using interval notation.) increasing decreasing

A graphing calculator is recommended. A function is given. U(x) = x \ 9х — х2 (a) Find the local maximum value of the function and the value of x at which this occurs. State the answer rounded to two decimal places. (х, у) %3 (b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer rounded to two decimal places. (Enter your answers using interval notation.) increasing decreasing

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 43E

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A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.
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