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Use Stokes's Theorem to evaluate e curlF. ds. (1) F(x, y, z) = x²y³zi+sin(ryz)j + xyz k, S is the part of the cone y² = 2² +2² that lies between the planes y = 0 and y = 3, oriented in the direction of the positive y-axis.

Use Stokes's Theorem to evaluate e curlF. ds. (1) F(x, y, z) = x²y³zi+sin(ryz)j + xyz k, S is the part of the cone y² = 2² +2² that lies between the planes y = 0 and y = 3, oriented in the direction of the positive y-axis.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use Stokes's Theorem to evaluate ff, curl F. ds. (1) F(x, y, z) = x²y³zî+ sin(xyz)j + xyz k, S is the part of the cone y² y = 0 and y (2) F(x, y, z) = ezy cos zi+r²zj+ryk, S is the hemisphere x = √1-y²z2, oriented in the direction of the positive x-axis. = x² + 2 that lies between the planes 3, oriented in the direction of the positive y-axis.
Transcribed Image Text:Use Stokes's Theorem to evaluate ff, curl F. ds. (1) F(x, y, z) = x²y³zî+ sin(xyz)j + xyz k, S is the part of the cone y² y = 0 and y (2) F(x, y, z) = ezy cos zi+r²zj+ryk, S is the hemisphere x = √1-y²z2, oriented in the direction of the positive x-axis. = x² + 2 that lies between the planes 3, oriented in the direction of the positive y-axis.
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