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a) Show that the volume enclosed when revolving the curve y = f(x) - where f: [a, b] → [0, 0) - about the x-axis in three-dimensional x-y-z space is given by %3D V = T a

a) Show that the volume enclosed when revolving the curve y = f(x) - where f: [a, b] → [0, 0) - about the x-axis in three-dimensional x-y-z space is given by %3D V = T a

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Think about the cross-sectional areas and the perfect symmetry when revolving the
function around the x-axis.

a) Show that the volume enclosed when revolving the curve y = f(x) - where f: [a, b] – [0, 00) - about the x-axis in three-dimensional x-y-z space is given by V = T Hint: Think obout the oress sootionelorees ond the norfoot su mmotr, whon rovolving the
Transcribed Image Text:a) Show that the volume enclosed when revolving the curve y = f(x) - where f: [a, b] – [0, 00) - about the x-axis in three-dimensional x-y-z space is given by V = T Hint: Think obout the oress sootionelorees ond the norfoot su mmotr, whon rovolving the
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