o(x,y) Solve the system u = x - y, V= 3x + y for x and y in terms of u and v. Then find the value of the Jacobian . Find the image under the transformation of the triangular region with vertices (0,0), (1, 1), and (1, - 3) in the xy-plane. Sketch the transformed region in the uv-plane. The function for x in terms of u and v is x =]. The function for y in terms of u and v is y = . The Jacobian of the transformation is J(u,v) =]. Choose the correct sketch of the transformed region in the uv-plane below. OA O B. O C. OD. ( -40) 0.4 U (4.0) (0,4 O O (0, - 4) (40) (0, -4) (-4,0)a(x,y) Find the Jacobian for the transformations x = 2u cos (4v), y = 2u sin (4v) and x = 2u sin (4v), y = 2u cos (4v). a(u, V) The Jacobian for x = 2u cos (4v), y = 2u sin (4v) is The Jacobian for x = 2u sin (4v), y = 2u cos (4v) is