Mathematics 317 T2Assignment#5 - Mathematics 317 T2 Assignment#5 due Friday 1 If F =(2 x y)i(3 x 2 y j evaluate F dr where C is C(a The straight line

Mathematics 317 T2Assignment#5 - Mathematics 317 T2...

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Mathematics 317 T2 Assignment #5 due Friday, February 12, 2010 1. If -++CdyxyxrFjiFevaluate,)23()2(where C is: (a) The straight line path from (0,0) to (1,1). (b) The parabolic path 2xy=from (0,0) to (1,1). 2. Let .kjiFzyxy-=Evaluate10PPdrFalong the straight line path from 0Pto 1in each of the following cases. (a) ).0,0,1(),0,0,0(0==PP(b) ).0,2,1(),0,0,110==PP(c) ).3,2,1(),0,2,110==PP(d) ).3,2,1(),0,0,010==PP(e) ).3,2,1(),0,0,110==PP(f) ).0,2,1(),0,0,010==PPCan one deduce the answers for cases (d) to (f) from knowing the answers for cases (a) to (c)? Explain your answer. = P 1 ( ( ( ( ( 3. Evaluate the integral ,2+
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