A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the other piece will be shaped as a circle. a) Express the total area A enclosed by the pieces of wire as a function of the length x of a side of a square. b) What is the domain of A? c) For what value of x is the area the smallest?

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 43PS
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A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a
square, and the other piece will be shaped as a circle.
a) Express the total area A enclosed by the pieces of wire as a function of the
length x of a side of a square.
b) What is the domain of A?
c) For what value of x is the area the smallest?

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