14. In this question we will consider the surface S parametrized as r(u, v) = (u²+ v, u, v), (a) Circle the figure below which shows the surface S. (b) Evaluate the surface integral (c) Evaluate the flux integral surfaces.) -2 ≤u≤ 2, 0 ≤v≤ 2. 5 y ds. F. ds where F(x, y, z) = (y, 0, 2x). (Use the standard orientation for parametrized S

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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14. In this question we will consider the surface S parametrized as
r(u, v) = (u² + v, u, v),
(a) Circle the figure below which shows the surface S.
-2≤u≤ 2,
0 ≤v≤ 2.
(b) Evaluate the surface integral y ds.
(c) Evaluate the flux integral [1 F. ds where F(x, y, z) = (y, 0, 2x). (Use the standard orientation for parametrized
surfaces.)
Transcribed Image Text:14. In this question we will consider the surface S parametrized as r(u, v) = (u² + v, u, v), (a) Circle the figure below which shows the surface S. -2≤u≤ 2, 0 ≤v≤ 2. (b) Evaluate the surface integral y ds. (c) Evaluate the flux integral [1 F. ds where F(x, y, z) = (y, 0, 2x). (Use the standard orientation for parametrized surfaces.)
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