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Consider the vector field F(x, y, #) = (= + y)i+ (42 + x)j + (4y +x)k. a) Find a function f such that F

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Consider the vector field F(x, y, #) = (= + y)i+ (42 + x)j + (4y +x)k. a) Find a function f such that F = V f and f(0, 0, 0) = 0. f(x, y, 2) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line integral SOF . dr

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