Let T:(u,v)→(x,y)T: (u, v) \to (x, y)T:(u,v)→(x,y) be x=u2−v2,y=2uvx = u^2 - v^2, y = 2uvx=u2−v2,y=2uv. Find the value of the Jacobian determinant J=∂(x,y)∂(u,v)J = \frac{\partial(x, y)}{\partial(u, v)}J=∂(u,v)∂(x,y) at (u,v)=(1,1)(u, v) = (1, 1)(u,v)=(1,1).
444
888
222
000