M402.set.5.ver4

M402.set.5.ver4 - Math 402 Set V For the following problems...

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Math 402 Set V g ± 1/[2 ² w ²] [2 ² w ²]/ s 00 02 / t ² w 0 ² wt ; g ± 1 ± s 0 tw 0 w 2/ t For the following problems (1-4) assume that the metric tensor, g , and the inverse metric tensor, g -1 , are as given below for the coordinate system with variables s,t, and w. 1. Find ± · t^ using the general form (in the s,t,w system) for the divergence operator. Show work. 2. Find s^ · ± x [wt ] . Show work. 3. Find ± ² sw. Show work. 4. Write the following in summation notation in the Cartesian system and carry out all the operations.
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This note was uploaded on 12/20/2010 for the course MATH 402 taught by Professor J. during the Fall '09 term at Missouri S&T.

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