Applications and ExamplesThe rectangle shown here has one

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 127PE Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 127PE

Applications and Examples

The rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and its upper right-hand vertex on the curve What dimensions give the rectangle its largest area, and what is that area?

Step-by-Step Solution:

Step 1 of 3</p>

In this problem, we have to find the dimension of largest area and also find the area.

Step 2 of 3</p>

The curve is given by

By seeing the graph, we can say that the curve is on the positive side of x-axis and y-axis, then the length of rectangle will be  and the width of the rectangle will be

So,

        The area of the rectangle will be

        

Differentiate the area of the rectangle with respect to , we get

        

Step 3 of 3

Chapter 4, Problem 127PE is Solved
Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

The full step-by-step solution to problem: 127PE from chapter: 4 was answered by Sieva Kozinsky, our top Calculus solution expert on 08/01/17, 02:37PM. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Since the solution to 127PE from 4 chapter was answered, more than 218 students have viewed the full step-by-step answer. The answer to “Applications and ExamplesThe rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and its upper right-hand vertex on the curve What dimensions give the rectangle its largest area, and what is that area?” is broken down into a number of easy to follow steps, and 40 words. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. This full solution covers the following key subjects: its, area, axis, SIDE, rectangle. This expansive textbook survival guide covers 138 chapters, and 9198 solutions.

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