A solid is constructed between the graphs of y = f(x) and y = g(x) and the lines æ = a and æ = b so that the cross- sections of the solid perpendicular to the x-axis (and to the ry- plane) are disks: Top: y=f(x) Bottom: y=g(x) X a b each slice is a circle

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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A solid is constructed between the graphs of y = f(x) and y = g(x) and the lines a = a and æ = b so that the cross-
sections of the solid perpendicular to the r-axis (and to the ry-plane) are disks:
Top: y=f(x)
Bottom: y=g(x)
a
each slice is a circle
Which of the following integrals represents the volume of this solid?
7(f(x) – 9(x))² dz
da
(=) – g(z))° dz
da
Transcribed Image Text:A solid is constructed between the graphs of y = f(x) and y = g(x) and the lines a = a and æ = b so that the cross- sections of the solid perpendicular to the r-axis (and to the ry-plane) are disks: Top: y=f(x) Bottom: y=g(x) a each slice is a circle Which of the following integrals represents the volume of this solid? 7(f(x) – 9(x))² dz da (=) – g(z))° dz da
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