Question: Transform the following vectors into cylindrical coordinates and then evaluate them at the indicated points: (a) A = x(x + y) at P (1, 2,

Transform the following vectors into cylindrical coordinates and then evaluate them at the indicated points:
(a) A = x(x + y) at P (1, 2, 3),
(b) B = x(y – x) + y (x - y) at P2 (1, 0, 2),
(c) C = xy2 / (x2 + y2) - yx2 / (x2 + y2) z4 at P3 (1 – 1, 2),
(d) D = Rsincoscos2 at P4 (2, 2, 
(e) E = Rcossinsin2 at P5 (3, 

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