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

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Q: 9. Sketch the vector field F(x, y) : :(yi — х). Vx? + y?

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