Question: Let f(x, y) = sin x sin y. (a) By visually examining the field F, guess where div F is positive and where it is

Let f(x, y) = sin x sin y.
(a) By visually examining the field F, guess where div F is positive and where it is negative. Then calculate div F to check on your guesses.
(b) Calculate the flux of F across the boundary of S; then calculate it across the boundary of T = {(x, y)}; 0 ( x ( 3, 0 ( y ( 3}?

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