Find the area of the surface generated when the curve: b) x=2sqrt(4-y), 0=

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
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Find the area of the surface generated when the curve:

b) x=2sqrt(4-y), 0=<y=<15/4 is rotated about the y-axis.

For Part B ONLY!!

4. Find the area of the surface generated when the curve:
a)y=
2-
0
1
+ on [1,2] is rotated about the x-axis.
4x²
8
2₁
15
b)x= 2√√4 - y,0 ≤ y ≤is rotated about the y-axis.
4
Transcribed Image Text:4. Find the area of the surface generated when the curve: a)y= 2- 0 1 + on [1,2] is rotated about the x-axis. 4x² 8 2₁ 15 b)x= 2√√4 - y,0 ≤ y ≤is rotated about the y-axis. 4
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