3. Make a change of variables x=u-v₂y=u+v, then evaluate triangular region bounded by y = x, y=3x, and x+y=4 a) Find the Jacobian b) Set up the integral in u and v c) Evaluate the integral ffx+ R x+ydA where R is the

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Make a change of variables x=u-v, y=u+v, then evaluate Sfx + ydA where R is the
R
triangular region bounded by y = x, y = 3x, and x + y = 4
a) Find the Jacobian
b)
Set up the integral in u and v
c) Evaluate the integral
Transcribed Image Text:3. Make a change of variables x=u-v, y=u+v, then evaluate Sfx + ydA where R is the R triangular region bounded by y = x, y = 3x, and x + y = 4 a) Find the Jacobian b) Set up the integral in u and v c) Evaluate the integral
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