Consider the vector field F(r, y, 2) = xi + yj + zk a) Find a function f such that F = Vf and f(0, 0, 0) = 0. f (I, y, z) = b) Use part a) to compute the work done by F on a particle moving along the curve C given by r(t) = (1 + 3 sint)i + (1 + 4sin t)j + (1 + 4sint)k, Oct . Work =