Proceed as in Example 1. Translate the words into an appropriate function. A wire of length L is cut x units from its left end. As shown in the figure below, the piece of wire of length x (blue in the figure) is bent into the shape of a circle, whereas the remaining piece of wire of length L-x (red in the figure) is bent into the shape of a square. Express the sum of the areas, A, as a function of x. A(x) = Give the domain of the function. (Enter your answer using interval notation.) Wire (a) Wire of length L CircleO Square L-X (b) Wire cut r units from left end

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Proceed as in Example 1. Translate the words into an appropriate function.
A wire of length L is cut x units from its left end. As shown in the figure below, the piece of wire of length x (blue in the figure) is bent into the shape of a circle, whereas the
remaining piece of wire of length L- x (red in the figure) is bent into the shape of a square. Express the sum of the areas, A, as a function of x.
A(x) =
Give the domain of the function. (Enter your answer using interval notation.)
Wire
(a) Wire of length L
Circle
Square
L- x
(b) Wire cut x units from left end
Transcribed Image Text:Proceed as in Example 1. Translate the words into an appropriate function. A wire of length L is cut x units from its left end. As shown in the figure below, the piece of wire of length x (blue in the figure) is bent into the shape of a circle, whereas the remaining piece of wire of length L- x (red in the figure) is bent into the shape of a square. Express the sum of the areas, A, as a function of x. A(x) = Give the domain of the function. (Enter your answer using interval notation.) Wire (a) Wire of length L Circle Square L- x (b) Wire cut x units from left end
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