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We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside the positive part of the graph of y = 4 - 1x4, as indicated in the figure

We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside the positive part of the graph of y = 4 - 1x4, as indicated in the figure

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17RE
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2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside the positive part of the graph of y = 4x4, as indicated in the figure (a,0) (a) Let (a,0) be the right-end point of the base of the rectangle. Find the coordinates for P depending on a. (b) Find an equation for the perimeter of the rectangle depending on a. (c) What is the interval of interest for a? (d) What value of a maximizes the perimeter of the rectangle? What are the dimen- sions of this rectangle? Note: In order to receive full credit you must show all of the steps you took to arrive at your answer.
Transcribed Image Text:2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside the positive part of the graph of y = 4x4, as indicated in the figure (a,0) (a) Let (a,0) be the right-end point of the base of the rectangle. Find the coordinates for P depending on a. (b) Find an equation for the perimeter of the rectangle depending on a. (c) What is the interval of interest for a? (d) What value of a maximizes the perimeter of the rectangle? What are the dimen- sions of this rectangle? Note: In order to receive full credit you must show all of the steps you took to arrive at your answer.
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