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 = 9x2 x = 0 x = 1 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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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
9x2
x = 0
x = 1
%3D
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 9x2 x = 0 x = 1 %3D 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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