MATH 32B Lecture 9: [Wk9.Wed] Proving and Applying Divergence Theorem

Suppose S and E satisfy the conditions of the Divergence Theorem and f  is a scalar function with continuous partial derivatives.

Prove that   These surface and triple integrals of vector functions are vectors defined by integrating each 

component  function.[Hint: start by applying the Divergence theorem to F=fc, where c is an arbitrary constant vector.]

: Proving a Sequence Is Geometric Show that is a geometric sequence, and find the common ratio. (Here .)

The Question:

The top are just proving and can be used in the next part.

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