Question: Given the vector field E = 4zy 2 cos 2xa x + 2zy sin 2xa y + y 2 sin 2xa z for the region

Given the vector field E = 4zy2 cos 2xax + 2zy sin 2xay + y2 sin 2xaz for the region |x|, |y|, and |z| less than 2, find

(a) The surfaces on which Ey = 0; 

(b) The region in which Ey = Ez;

(c) The region in which E = 0.

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