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Evaluate f, F dr using Stokes theorem assuming C is oriented counter clockwise, where F = r*y cos ryi + z*x(1+ cos ry)j + 2z sin ryk %3D C is the boundary of the plane z = 1 - y

Evaluate f, F dr using Stokes theorem assuming C is oriented counter clockwise, where F = r*y cos ryi + z*x(1+ cos ry)j + 2z sin ryk %3D C is the boundary of the plane z = 1 - y

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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(f) Evaluate fc F dr using Stokes theorem assuming C is oriented counter clockwise, where F = 2*y cos ryi + z²x(1+ cos ry)j + 2z sin ryk COS C is the boundary of the plane z = 1- y (g) Use Green's theorem to evaluate f ry dx +3 cos ydy where C is the boundary of the region in the first quadrant determined by the graphsy = x², y = x³
Transcribed Image Text:(f) Evaluate fc F dr using Stokes theorem assuming C is oriented counter clockwise, where F = 2*y cos ryi + z²x(1+ cos ry)j + 2z sin ryk COS C is the boundary of the plane z = 1- y (g) Use Green's theorem to evaluate f ry dx +3 cos ydy where C is the boundary of the region in the first quadrant determined by the graphsy = x², y = x³
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