A rectangle is bounded by the x-axis and the semicircle y = √ 49 -x² (see figure). What length and width should the rectangle have so that its area is a maximum? (smaller value) (larger value) 20 15- y 10- y = sqrt(49-x^2) 5- -10 -5 0 5 10 -5

Calculus: Early Transcendentals
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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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I am needing assitance with the question inthe attached iamge, 6.8. 

A rectangle is bounded by the x-axis and the semicircle y = √ 49 -x² (see figure). What length and width should the rectangle have so that its area is a maximum?
(smaller value)
(larger value)
20
15-
y 10-
y = sqrt(49-x^2)
5-
-10
-5
0
5
10
-5
Transcribed Image Text:A rectangle is bounded by the x-axis and the semicircle y = √ 49 -x² (see figure). What length and width should the rectangle have so that its area is a maximum? (smaller value) (larger value) 20 15- y 10- y = sqrt(49-x^2) 5- -10 -5 0 5 10 -5
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