1 1) To find the exact area of the surface obtained by rotating the curve y = 2, 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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1
y =
1) To find the exact area of the surface obtained by rotating the curve
0 < x < 12 about
the y-axis.
a) Determine whether we shall use S
2ту ds
S =
2πα ds
or
dy 2
dx
dx 2
dy
dy
1+
dx
1+
b) Determine whether we shall use ds
or
ds
c) Set up (but do not evaluate) the integral to find the surface area.
Transcribed Image Text:1 y = 1) To find the exact area of the surface obtained by rotating the curve 0 < x < 12 about the y-axis. a) Determine whether we shall use S 2ту ds S = 2πα ds or dy 2 dx dx 2 dy dy 1+ dx 1+ b) Determine whether we shall use ds or ds c) Set up (but do not evaluate) the integral to find the surface area.
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