- #1
Hashmeer
- 16
- 0
Homework Statement
Let D be the image of R = [1; 3] x [1; 4]. under the map
T(u; v) = (u^2/v , v^2/u)
(a) Compute the Jacobian of T.
(b) Compute the area of D.
The Attempt at a Solution
I'm pretty sure I found the Jacobian (I got -2v/u + 2u/v), but I am confused on the next part. How exactly do I find the ranges of u and v since I am not given functions for y and x. Or can I solve the u^2/v and v^2/u for the values in the ranges of x and y to find the ranges for u and v. Thanks for the help.