A rectangle is bounded by the x-axis and the semicircle y = v 25 – x2 (see figure). What length and width should the rectangle have so that its area is a maximum? (smaller value) (larger value) 14 12 10 8 y 6 y = sqrt(25 - x^2) 4. 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter39: Symbolism And Algebraic Expressions
Section: Chapter Questions
Problem 5A
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A rectangle is bounded by the x-axis and the semicircle y = /25 - x2 (see figure). What length and width should the rectangle have so that its area is a maximum?
(smaller value)
(larger value)
14
12
10
8
y
6.
y = sqrt(25 - x^2)
4-
2
-10 -8 -6 -4
-2 0
4
8
10
-2
Transcribed Image Text:A rectangle is bounded by the x-axis and the semicircle y = /25 - x2 (see figure). What length and width should the rectangle have so that its area is a maximum? (smaller value) (larger value) 14 12 10 8 y 6. y = sqrt(25 - x^2) 4- 2 -10 -8 -6 -4 -2 0 4 8 10 -2
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