Question: Can you help me with these questions? Consider the vector field F(x, y, z) = (2xy z, 2x2yz, x2y?) and the curve r(t) = (sint,

Can you help me with these questions?

Consider the vector field F(x, y, z) = (2xy z, 2x2yz, x2y?) and the curve r(t) = (sint, sint cost, cost) on the interval [", ""]. Calculate fo F . dr using the definition of the line integral. Find a function f : R3 - R so that F = Vf. Verify your answer from (a) using (b) and the Fundamental Theorem for Line Integrals

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