Consider f( x, y ) = 3 x y and A = { ( x, y ): 0 < y...
haohouConsider f( x, y ) = 3 x y and A = { ( x, y ): 0 < y < 1, y < x < 2 }.
a) Sketch A. That is, sketch { ( x, y ): 0 < y < 1, y < x < 2 }.
b) Set up the double integral(s) of f( x, y ) over A with the outside integral w.r.t. y and the inside integral w.r.t. x.
d) Use either (b) or (c) to evaluate ( ) ∫∫ A f x, y dx dy
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