Question: Consider the vector field F(x, y, 2) = (52 + 4y)i + (32 + 4x)j + (3y + 5x)k. a) Find a function f such


Consider the vector field F(x, y, 2) = (52 + 4y)i + (32 + 4x)j + (3y + 5x)k. a) Find a function f such that F = Vf and f(0, 0, 0) = 0. f(r, y, 2) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line integral f F . dr
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