The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections that are perpendicular to the x-axis are rectangles with the height equal to twice the width. Algebraically, find the area of each rectangle. 543-2-1 1 2 3 4 5 O A(x) = 2(4-x²) ○ A(x) = 1/2 (4-x²) ○ A(x) = (4-x²) O A(x) = (4x²)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections that are perpendicular to
the x-axis are rectangles with the height equal to twice the width.
Algebraically, find the area of each rectangle.
Y
5
4
3
2
54 3-2-1
1 2 3 4 5
-2
-3
A(x) = 2(4- x²)
A(x) = —— (4- x²)
1
) = // (4-x²)
प
O A(X)
O A(x) = (4x²)
"
Transcribed Image Text:The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections that are perpendicular to the x-axis are rectangles with the height equal to twice the width. Algebraically, find the area of each rectangle. Y 5 4 3 2 54 3-2-1 1 2 3 4 5 -2 -3 A(x) = 2(4- x²) A(x) = —— (4- x²) 1 ) = // (4-x²) प O A(X) O A(x) = (4x²) "
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