Consider the vector field F given by F = zi+gi +xk. You are tasked with calculating the work W/ done along the path C given by r(t) = (5 cos(#), 5sin(t), 150), -A St = 21 such that W = g(t ) dt . (a) Enter g(t ) = (b) Find the scalar field (x, y, 2) with $(0, 0, 0) = 10 such that F = V Enter $(x, y, z) = DP . (c) Hence evaluate the integral W = G , leave your answer in EXACT form (do not do any rounding)