UCI
MATH 2E -
Quiz 3
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Math 2E 44275 Spring 2014 Quiz 3 5 01 14 Name Print ID Number Show all of your work Partial credit will be given 1 10 points a Find a function f such that b use part a to evaluateR f F x y z yzexyi xzexyj exyk C F dr along the given curve C r t t2 2t i t2 1 j t2 1 k 0 t 2 yzexy implies f x y z R yzexydx g y z zexy g x y and so f xzexy so g y 0 g y z h z Thus f x y z zexy h z and f z exy so h0 z 0 h z K Hence f x y z zexy taking K 0 Solution a f x But f y But f z b r 0 h0 1 1i r 2 h0 5 3i soR C F dr f 0 5 3 f 0 1 1 3e0 e0 4 xzexy g y y exy h0 z
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