Verify the formula for triple integrals in spherical coordinates using a change of variables.

1. Verify the formula for triple integrals in spherical coordinates using a change of variables.

2. Suppose that F(x,y) is a conservative vector ﬁeld with potential function f(x,y). Suppose that every vector in F is horizontal (ie: has y component 0). What can you deduce about f?

Mathematics

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Verify the formula for triple integrals in spherical coordinates using a change of variables.

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