An Inscribed rectangle Is bounded by the x - axls and the semicircle y =V25-x2. What length and with should the rectangle have so that its area is maximum?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 47E
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An Inscribed rectangle Is bounded by the x- axis and the semicircle y=V25 -x2.
What length and with should the rectangle have so that its area is maximum?
O a. L=5/2
5/2
O b. L = 10
w=5
Oc.
5/2
L= =
2
w=5/2
O d. L = 8
w =5.5
Transcribed Image Text:An Inscribed rectangle Is bounded by the x- axis and the semicircle y=V25 -x2. What length and with should the rectangle have so that its area is maximum? O a. L=5/2 5/2 O b. L = 10 w=5 Oc. 5/2 L= = 2 w=5/2 O d. L = 8 w =5.5
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