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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 15E
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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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