Question: (15) 2. We have shown in class that for any function o(x,y,z), curl grad p = 0. Conversely, it can also be shown that if

(15) 2. We have shown in class that for any function o(x,y,z), curl grad p = 0. Conversely, it can also be shown that if v is a vector field for which curl v = 0, then there is a function such that v = grad o. Verify this statement for the vector field v = (2xyz,x z,xy) by (a) Showing curl v = 0 (b) Finding o in this case ( in any way you choose)
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