A rectangle is bounded by the x-axis and the semicircle y = 81 - x? (see figure). What length and width should the rectangle have so that its area is a maximum? (smaller value) (larger value) 25 20 15 10 y-sgrt81 -x2) -15 -10 -5 of 10 15 -5

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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A rectangle is bounded by the x-axis and the semicircle y = V81 - x2 (see figure). What length and width should the rectangle have so that its area is a maximum?
(smaller value)
(larger value)
25
20
15
y
10
y = sqrt(81 - x^2)
-15 -10
-5
5
10
15
-5
Transcribed Image Text:A rectangle is bounded by the x-axis and the semicircle y = V81 - x2 (see figure). What length and width should the rectangle have so that its area is a maximum? (smaller value) (larger value) 25 20 15 y 10 y = sqrt(81 - x^2) -15 -10 -5 5 10 15 -5
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