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8a. A rectangle is bounded by the x-axis and the semicircle y = \4 – x². What length and width should the rectangle have so that the area is a maximum?

8a. A rectangle is bounded by the x-axis and the semicircle y = \4 – x². What length and width should the rectangle have so that the area is a maximum?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please solve 8A and show all work, thank you!!!
*Solve ONE of the following: 8a. A rectangle is bounded by the x-axis and the semicircle y = \4 – x². What length and width should the rectangle have so that the area is a maximum? 8b. A rectangular page is to contain 144 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.
Transcribed Image Text:*Solve ONE of the following: 8a. A rectangle is bounded by the x-axis and the semicircle y = \4 – x². What length and width should the rectangle have so that the area is a maximum? 8b. A rectangular page is to contain 144 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.
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