The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval [1, 2]. Vertical cross-sections that are perpendicular to the y-axis are rectangles with height equal to 2. Algebraically, find the area of each rectangle. - 1 2 3 4 5 6 7 8 9 y³ 0 0 O 2y³

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 44E
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The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval [1, 2]. Vertical cross-sections that are
perpendicular to the y-axis are rectangles with height equal to 2.
Algebraically, find the area of each rectangle.
5
4
3
2
1
X
- 1 2 3 4 5 6 7 8 9
-2
& & & &.
-3
4
O
1³
2y³
3
y³
3
Transcribed Image Text:The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval [1, 2]. Vertical cross-sections that are perpendicular to the y-axis are rectangles with height equal to 2. Algebraically, find the area of each rectangle. 5 4 3 2 1 X - 1 2 3 4 5 6 7 8 9 -2 & & & &. -3 4 O 1³ 2y³ 3 y³ 3
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