As a hardworking student, plagued by too much homework, you spend all night doing math homework. By 6am, you imagine yourself to be a region bounded by 2x2 y = x = 0 x = 2 y = 0 As you grow more and more tired, the world begins to spin around you. However, according to Newton, there is no difference between the world spinning around you, and you spinning around the world. Unfortunately, you are so tired that you think the world is the x-axis. What is the volume of the solid you (the region) create by spinning about the x-axis?

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
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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As a hardworking student, plagued by too much homework, you spend all night doing math homework. By
6am, you imagine yourself to be a region bounded by
y = 2x2
x = 0
x = 2
y =0
As you grow more and more tired, the world begins to spin around you. However, according to Newton, there
is no difference between the world spinning around you, and you spinning around the world. Unfortunately,
you are so tired that you think the world is the x-axis. What is the volume of the solid you (the region) create
by spinning about the x-axis?
Transcribed Image Text:As a hardworking student, plagued by too much homework, you spend all night doing math homework. By 6am, you imagine yourself to be a region bounded by y = 2x2 x = 0 x = 2 y =0 As you grow more and more tired, the world begins to spin around you. However, according to Newton, there is no difference between the world spinning around you, and you spinning around the world. Unfortunately, you are so tired that you think the world is the x-axis. What is the volume of the solid you (the region) create by spinning about the x-axis?
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