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A rectangle is bounded by the x-axis and the semicircle y = 49-x² (s

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.3: Multiplying Polynomials

Problem 58PFA

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Question

A rectangle is bounded by the x-axis and the semicircle y = √ 49 - ×^2 (see figure). What length and width should the rectangle have so that its area is maximum?

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)
-10 -5
20
15-
10
5
O
y-sqrt(49-x^2)
5
10

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