M402.set.5.ver4

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

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Math 402 Set V g 1 / [2 w ²] [2 w ²]/ s 0 0 0 2/ t w 0 w t ; g 1 s 0 0 0 t w 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 t^ ] . 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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