Applied Optimization Consider a wire of length 7 ft. The wire is to be cut into two pieces of length z and 7 - z. Suppose the length z is used to form a circle of radius r and the length 7 – z is used to form a square with side of length s. What value of z will minimize the sum of their areas? == ft The minimum sum of the areas is then:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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Applied Optimization
Consider a wire of length 7 ft. The wire is to be cut into two pieces of length z and 7- z. Suppose the length I is used to form a circle of radius r and the length 7– I is used to form
a square with side of length s. What value of z will minimize the sum of their areas?
ft
The minimum sum of the areas is then: ft
Transcribed Image Text:Applied Optimization Consider a wire of length 7 ft. The wire is to be cut into two pieces of length z and 7- z. Suppose the length I is used to form a circle of radius r and the length 7– I is used to form a square with side of length s. What value of z will minimize the sum of their areas? ft The minimum sum of the areas is then: ft
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