Area Twelve feet of wire is to be used to form a square and a circle. (a) Express the sum of the areas of the square and the circle as a function A of a side of the square x. x² (6 – 2x)² A = (b) What is the domain of A? (Enter your answer using interval notation.) [0,3] (c) Use a graphing utility to graph A on its domain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 70E
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Area Twelve feet of wire is to be used to form a square and a circle.
(a) Express the sum of the areas of the square and the circle as a function A of a side of the square x.
x²
(6 – 2x)²
A =
(b) What is the domain of A? (Enter your answer using interval notation.)
[0,3]
(c) Use a graphing utility to graph A on its domain.
Transcribed Image Text:Area Twelve feet of wire is to be used to form a square and a circle. (a) Express the sum of the areas of the square and the circle as a function A of a side of the square x. x² (6 – 2x)² A = (b) What is the domain of A? (Enter your answer using interval notation.) [0,3] (c) Use a graphing utility to graph A on its domain.
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