Let i=∫∫d(x2−y2)dxdy, where
d={(x, y): 3≤xy≤6,0≤x−y≤7,x≥0,y≥0}
show that the...
Mathematics, 20.11.2019 17:31 ayoismeisjjjjuan
Let i=∫∫d(x2−y2)dxdy, where
d={(x, y): 3≤xy≤6,0≤x−y≤7,x≥0,y≥0}
show that the mapping u=xy, v=x−y maps d to the rectangle r=[3,6]×[0,7].
(a) compute ∂(x, y)/∂(u, v) by first computing ∂(u, v)/∂(x, y).
(b) use the change of variables formula to show that i is equal to the integral of f(u, v)=v over r and evaluate.
(a)∂(x, y)/∂(u, v)=
(b)i=
Answers: 2
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