Question: 3. Let S be given by: ~r(u, v) = for /4 u 3/4 and 0 v 2. the (~r) is an r with a vector

3. Let S be given by: ~r(u, v) = for /4 u 3/4 and 0 v 2. the (~r) is an r with a vector arrow above it.

(a) Find and simplify ~ru ~rv

HINT: Be on the lookout for 'Pythagorean Magic.'

(b) Use a double integral to compute the flux of F~ (x, y, z) = across S using ~n = ~ru ~rv .

The ~F has a vector arrow above it. ~n had a vector arrow above it. ~r has a vector arrow with subscripts u and v

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