(a)(yz dx + (z + x) dy + (x + y) dz, where C is the curve of intersection of the cylinder xy= 2y and the plane y = z, traversed counterclockwise when viewed from above. Answer:0. (b) dx xy dy + xz dz, with C as above Answer: 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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Use Stokes’ theorem to evaluate the line integral

(a)(yz dx + (z + x) dy + (x + y) dz, where C is the curve of intersection of the cylinder
xy= 2y and the plane y = z, traversed counterclockwise when viewed from above.
Answer:0.
(b)
dx
xy dy + xz dz, with C as above
Answer: 0
Transcribed Image Text:(a)(yz dx + (z + x) dy + (x + y) dz, where C is the curve of intersection of the cylinder xy= 2y and the plane y = z, traversed counterclockwise when viewed from above. Answer:0. (b) dx xy dy + xz dz, with C as above Answer: 0
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