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 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
The area of the rectangle will be
Differentiate the area of the rectangle with respect to , we get
Textbook: Thomas' Calculus: Early Transcendentals
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
The full step-by-step solution to problem: 127PE from chapter: 4 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since the solution to 127PE from 4 chapter was answered, more than 222 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: 13. This full solution covers the following key subjects: its, area, axis, SIDE, rectangle. This expansive textbook survival guide covers 138 chapters, and 9198 solutions.