A piece of wire of length 53 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square? (a) Let x be the amount of wire used for the circle. What is the function A, the combined area of the circle and square, in terms of x? (Type an expression. Type an exact answer, using a as needed.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A piece of wire of length 53 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the
wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?
(a) Let x be the amount of wire used for the circle. What is the function A, the combined area of the circle and square, in terms
of x?
(Type an expression. Type an exact answer, using a as needed.)
Transcribed Image Text:A piece of wire of length 53 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square? (a) Let x be the amount of wire used for the circle. What is the function A, the combined area of the circle and square, in terms of x? (Type an expression. Type an exact answer, using a as needed.)
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