Calculate the surface integralff, ds, where S is the hemisphere x² + y² + z² = 1, z ≥ 0. The parametrization of the hemisphere is: x = senucosv y senusenv Z cosu D: {(x, y) |0 ≤ u ≤ 1,0 ≤ v ≤ 2n}

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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Calculate the surface integralff, ds, where S is the hemisphere x? + y? + z? =
1, z 2 0. The parametrization of the hemisphere is:
x = senucosv
y = senusenv
z = cosu
D:{(x, y) |0 s u s.0s
,0<v< 2n}
Transcribed Image Text:Calculate the surface integralff, ds, where S is the hemisphere x? + y? + z? = 1, z 2 0. The parametrization of the hemisphere is: x = senucosv y = senusenv z = cosu D:{(x, y) |0 s u s.0s ,0<v< 2n}
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