Use Stokes' Theorem to find the circulation of F = 5y + 5zj+2ak around the triangle obtained by tracing out the path (6, 0, 0) to (6, 0, 6), to (6, 3, 6) back to (6,0,0). Circulation = So F.dr= -45

Q: Find div F and curl F if F(x, y, z) = x²i – 5j + yzk. div F= curl F=

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Q: F = 5x45 i + ev6 jl and Clis the quarter of the unit circle in the first quadrant, traced…

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Q: Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation…

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Q: Example Let f(r,y, z) = ryz sin rz. Find Vfo at the point Po = (1, –2, 7) and compute the…

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Q: Let F=(9xy,7y,8z)=(9xy,7y,8z). The curl of F=( Is there a function f such that F=∇f=∇?  (y/n)

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Q: Let F = Jo Use Stokes' Theorem to evaluate F. dr, where C is the triangle with vertices (10,0,0),…

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Q: F.dr where F(r, y, z) = (3.5yz cos(ryz), 3.5cz cos(cyz), 3.5cy cos(ryz)) and C is the Evaluate line…

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Q: Find polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 s0 < 2m

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Q: Verify Stokes theorem for the function f =-yi+r in the square with corners at (0,0,0) and (1,1,0).

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Q: Let F = SOFF Use Stokes' Theorem to evaluate . dr, where C is the triangle with vertices (6,0,0),…

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Q: Use Stokes' Theorem to find the circulation of F= 2yi +423 +3ack around the triangle obtained by…

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Q: Let F = curl(A). Which of the following are related by Stokes' Theorem? (a) The circulation of A and…

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Q: (b) Use Green's theorem to calculate the circulation of F around the triangle with verticcs (2,0),…

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