Unformatted text preview: C from the point P (0 , , 0) to the point Q (2 , 1 , 1) . 8. Let F be the vector ±eld F = (2 x + sin yz ) i + (2 y + xz cos yz ) j + (2 z + xy cos yz ) k . (a) Show that F is conservative and ±nd a potential function for F . (b) Evaluate i C F · d r where C is the curve x = t , y = t 2 , z = t 4 from t = 0 to t = 1. Extra question for outside the tutorial 9. Determine whether or not the vector ±eld F is conservative. F = x r x 2 + y 2 + z 2 i + y r x 2 + y 2 + z 2 j + z r x 2 + y 2 + z 2 k . Copyright c c 2012 The University of Sydney...
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This note was uploaded on 02/06/2012 for the course MATH 2061 taught by Professor Notsure during the Three '09 term at University of Sydney.
 Three '09
 NOTSURE
 Statistics, Vector Calculus

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