(a) Find a function f such that F = f and (b) use part (a) to evaluate...
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(a) Find a function f such that F = ∇f and (b) use part (a) to evaluate ∫C F • dr along the given curve C.
F(x, y, z) = (y2z + 2xz2) i + 2xyz j + (xy2 + 2x2z) k, C: x = √t , y = t + 1, z = t2, 0 < t < 1
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a fx x y z yz 2xz implies fx y z xyzxz gy z and so fyx y z 2xyz 9y ...View the full answer
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