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)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 50E: The y-axis along with the graphs of y=-2x+7 and y=x+2 encloses a triangular region. Find the area of...
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A rectangle is bounded by the x-axis and the semicircle y = V 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
y 10
y = sqrt(49 - x^2)
5-
-10
-5
5
10
X
-5
Transcribed Image Text:A rectangle is bounded by the x-axis and the semicircle y = V 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 y 10 y = sqrt(49 - x^2) 5- -10 -5 5 10 X -5
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