Use Stokes' theorem to evaluate the work done by the force field F = ((f(x, y, z), 5xy, x+ yz), where f: R → R is an arbitrary smooth function, while moving an object first from the point (2, -1,0) to the point (2, 1, 0) along the semi-circle (with z >0) of radius 1 in the plane x = 2, and then back to the point (2,-1, 0) along the line x = 2 in the (x, y)-plane. Work =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Use Stokes' theorem to evaluate the work done by the force field
F = ((f(x, y, z), 5xy, x + yz),
where f : R → R is an arbitrary smooth function, while moving an object first from the point (2, -1,0) to the point (2, 1, 0) along the semi-circle (with z > 0) of
radius 1 in the plane x = 2, and then back to the point (2, –1,0) along the line x = 2 in the (x, y)-plane.
Work =
Transcribed Image Text:Use Stokes' theorem to evaluate the work done by the force field F = ((f(x, y, z), 5xy, x + yz), where f : R → R is an arbitrary smooth function, while moving an object first from the point (2, -1,0) to the point (2, 1, 0) along the semi-circle (with z > 0) of radius 1 in the plane x = 2, and then back to the point (2, –1,0) along the line x = 2 in the (x, y)-plane. Work =
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