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Writing Functions from Word Problems

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20. A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, 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 the equilateral triangle.

b. What is the domain of A?

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

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Mathematical Models: Constructing Functions

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20. A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will ...

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