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a) show that the vector field F= <siny, xcosy, -sinz> is conservative by finding a scalar...

a) show that the vector field F= <siny, xcosy, -sinz> is conservative by finding a scalar f such that ∇f=F.

b) use this fact to ecaluate ∫C F•dr along the given curve C where C is the line segment from (0,0,0) to (4, π/2, π/2).

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