Calc Jacobian
posted by Rob .
Thanks
"I know that the xy region is the line x=y y=0 and y=1 x/2)"
It is helpful to rewrite the region in the xy plane by specifying the three lines and the endpoints, i.e. the points where they intersect.
If you insert these points in the formula for U and V you obtain the vertices in the UV plane.
E.g., the line x = y maps to the line
V = 0. But in the xy plane this line is bounded by the "end points" (x=0,y=0) and (x=2/3,y=2/3) which in the UV plane has coordinates (U = 0, V = 0) and (U = 2, V = 0) respectively.
I need to find out how to solve this integral with the indicated changes.
int.[0 to 2/3]int[y to 22y]
(x+2y)e^(yx)
dxdy
u=x+2y v=xy
I know that the xy region is the line x=y y=0 and y=1 x/2)
but when I make the changes, I don't get a new region bounded by graphs.
Can anyone see a way to solve this one?
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