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 in a circle.  1. 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.   2. What is the domain of A?   3. Graph A = A(x). For what value of x is A smallest?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 in a circle. 

1. 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.

 

2. What is the domain of A?

 

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

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