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# Rectangles beneath a parabola A rectangle is constructed

ISBN: 9780321570567 2

## Solution for problem 18E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 18E

Rectangles beneath a parabola A rectangle is constructed with its base on 2 ? the ? -axis and two of its vertices on the par ? abola ?y =? 6 ? x , What are the dimensions of the rectangle with the maximum area? What is the area?

Step-by-Step Solution:

Solution Step 1: Let the length of rectangle be 2x And breadth of the rectangle be y Then area of the rectangle is given by A=2xy Step 2: We can draw the figure from the given data Step 3: The requirement of the rectangle lies on the graph of y=16 x 2 That is A=2x(16 x )2 A=32x-2x 3 ;0 x 4 The variable x is restricted between [0,4] at which both points yield a minimum value of no rectangle or 0 area

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##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 18E from chapter: 4.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 18E from 4.4 chapter was answered, more than 310 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Rectangles beneath a parabola A rectangle is constructed with its base on 2 ? the ? -axis and two of its vertices on the par ? abola ?y =? 6 ? x , What are the dimensions of the rectangle with the maximum area? What is the area?” is broken down into a number of easy to follow steps, and 48 words. This full solution covers the following key subjects: its, area, rectangle, abola, beneath. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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