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

Chapter , Problem 3.6.11

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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. I 1 0 m 4x [Q] x o 1 1 0 - 4x (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? .r (c) Graph A = A(x). For what value of x is A smallest?

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