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Unformatted text preview: Mathematics 20E - Spring 2009 - Homework 4 May 12, 2009 Please complete the following problems and turn them in to the homework drop box in the sixth floor of AP&M labelled Math 20E / Ryan Szypowski by Friday, May 22 at 5:30pm. Only a subset of the problems will be graded; leave some blank at your own risk. 1. Let F : 3 3 be given by F ( x, y, z ) = parenleftbigg ye z , xe z + 1 z , xye z y z 2 parenrightbigg and let c : bracketleftbig , 2 bracketrightbig 3 be a parameterization of an oriented curve C , given by c ( t ) = ( cos t sin t, sin 2 t, cos t + 1 ) . Use some trick to compute integraltext C F d s . 2. Let v : 3 3 be given by v ( x, y, z ) = y i + z j + x k and let T : [0 , 1] [0 , 1] 3 be a parameterization of an oriented surface S , given by T ( u, v ) = u i + uv j + ( u v ) k . Compute integraldisplayintegraldisplay S v d S ....
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This note was uploaded on 10/22/2009 for the course CHEM 140A taught by Professor Whiteshell during the Spring '04 term at UCSD.
- Spring '04