Let the region R be the area enclosed by the function f (x) = x³ , the horizontal line y = -2 and the vertical lines x = 0 and x = 7. Find the volume of the solid generated when the region R is revolved about the line y = -2. You may use a calculator and round to the nearest thousandth. 3 1 х -2 -1 1. 2 8. -1 -3 -4 -5 -6

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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Let the region R be the area enclosed by the function f(x) = x3, the horizontal line
-2 and the vertical lines x = 0 and x = 7. Find the volume of the solid
generated when the region R is revolved about the line y = -2. You may use a
y =
calculator and round to the nearest thousandth.
3
2
1
-1
1
2
3
4
6.
7
8
-1
-3
-4
-5
-6
Transcribed Image Text:Let the region R be the area enclosed by the function f(x) = x3, the horizontal line -2 and the vertical lines x = 0 and x = 7. Find the volume of the solid generated when the region R is revolved about the line y = -2. You may use a y = calculator and round to the nearest thousandth. 3 2 1 -1 1 2 3 4 6. 7 8 -1 -3 -4 -5 -6
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