Part 1

Consider the vector field F(r, y, 2) = xi + yj + 2k. 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 + 4sint)i + (1 + 5sin t)j + (1 + 2sin]t)k, oct