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