Transform the following vectors into spherical coordinates and then evaluate them at the indicated points: (a) A

Question:

Transform the following vectors into spherical coordinates and then evaluate them at the indicated points:
(a) A = xy2 + yxz + z4 at P1 (1 – 1, 2),
(b) B = y(x2 + y2 + z2) – z (x2 + y2) at P2 (- 1, 0, 2),
(c) C = r cos sin z cos sin at P3 (2, 4, 2), and
(d) D = xy2 / x2 + y2) - yx2 / (x2 + y2) + z4 at P4 (1, - 1, 2).