The region bounded by the graph of y=Vx-4, x-axis, and the line x=6 on the right is rotated about the line x=4. a) For finding the volume of the resulting object using the method of cross-sections, we use the integral nf (y) dy with the function from y= to y=

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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The region bounded by the graph of y=V X-4, x-axis, and the line x=6 on the right is rotated about the line x=4.
a) For finding the volume of the resulting object using the method of cross-sections, we use the integral
nf (y) dy with the function
from y=
to
y=
b) For finding the volume of the resulting object using the method of cylindrical shells, we use the integral
2ng (x) dx with the function
from x=
to x=
Transcribed Image Text:The region bounded by the graph of y=V X-4, x-axis, and the line x=6 on the right is rotated about the line x=4. a) For finding the volume of the resulting object using the method of cross-sections, we use the integral nf (y) dy with the function from y= to y= b) For finding the volume of the resulting object using the method of cylindrical shells, we use the integral 2ng (x) dx with the function from x= to x=
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