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 61542 61472 61485 61472 61542 61472 sin 61542 61472 z cos 61542 sin 61542 61472 at P3 (2, 61552 61487 4, 2), and (d) D xy2 x2 y2) yx2 (x2 y2) z4 at P4 (1, 1, 2)

Question: Transform the following vectors into spherical coordinates and then evaluate them at the indicated points: (a) A = xy2 + yxz + z4 at P1

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).

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