A wire 10 meters long is to be cut into two pieces. One piece will be shaped

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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. See the figure.

4х 10 m 10 - 4х


(a) Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the square.

(b) What is the domain of A?

(c) Graph A = A(x). For what value of x is A smallest?

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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