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hw12sol

Course: MATH 53, Fall 2011
School: Berkeley
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Word Count: 1585

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53 Math Homework 12 Solutions 16.5 # 1: a) curl F = b) div F = F = k /x /y /z xyz 0 x2 y = (x2 0) (2xy xy ) + (0 xz )k = x2 + 3xy xz k. F= (xyz ) + (0) + (x2 y ) = yz + 0 + 0 = yz . x y z 16.5 # 9: If we write F = P + Q, then P = 0, while Q is independent of x (and z ), and decreases as y increases, so Q/y &lt; 0. P Q Q a) div F = + =0+ &lt; 0. x y y b) since we are considering...

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