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3. Let the curve C be the intersection of the cylinder z²+y² = 1 and the plane 2r+2y+: = 3₁ oriented counter-clockwise when viewed from above, that is from the positive z-axis. (a) Make a clear sketch of the curve C and its orientation. (b) Calculate the circulation of F(x, y, theorem. z)=-y³i+j³k around C using Stokes'

3. Let the curve C be the intersection of the cylinder z²+y² = 1 and the plane 2r+2y+: = 3₁ oriented counter-clockwise when viewed from above, that is from the positive z-axis. (a) Make a clear sketch of the curve C and its orientation. (b) Calculate the circulation of F(x, y, theorem. z)=-y³i+j³k around C using Stokes'

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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3. Let the curve C be the intersection of the cylinder 2²+y² = 1 and the plane 2r+2y+= = 3. oriented counter-clockwise when viewed from above, that is from the positive z-axis. (a) Make a clear sketch of the curve C and its orientation. (b) Calculate the circulation of F(x, y, theorem. z)=-y³i+x³jk around C using Stokes
Transcribed Image Text:3. Let the curve C be the intersection of the cylinder 2²+y² = 1 and the plane 2r+2y+= = 3. oriented counter-clockwise when viewed from above, that is from the positive z-axis. (a) Make a clear sketch of the curve C and its orientation. (b) Calculate the circulation of F(x, y, theorem. z)=-y³i+x³jk around C using Stokes
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