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powellmj9216
powellmj9216
28.11.2019 • 
Mathematics

Ind the jacobian of the transformation xequals=nothingu, yequals=44uv and sketch the region g: 1 less than or equals u less than or equals 3 comma 4 less than or equals 4 uv less than or equals 12g: 1≤u≤3, 4≤4uv≤12, in the uv-plane. b. then use modifyingbelow integral from nothing to nothing integral from nothing to nothing with upper r f (x comma y )dx dy equals modifyingbelow integral from nothing to nothing integral from nothing to nothing with upper g f (g (u comma v )comma h (u comma v ))startabsolutevalue upper j (u comma v )endabsolutevalue du dv∫∫rf(x,y) dx dy=∫∫gf(g(u,v),h(u,v))j(u,v) du dv to transform the integral integral from 1 to 3 integral from 4 to 12 startfraction y over x endfraction dy dx∫13 ∫412 y x dy dx into an integral over g, and evaluate both integrals.

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