d(x,y) Solve the system u =x- y, v= 2x + 3y 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 d(u,v) triangular region with vertices (0,0), (3,3), and (3, - 2) 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. O A. OB. OC. OD. AV (-5,0 u (0,15) (0,15) (5,0) Q (0, – 15) (0, – 15) (-5,0) (5,0)

3 Parallelogram ABCD undergoes a transformation, producing parallelogram A'B'C'D', as shown below. What is the rule for the transformation? # 3 O A. (x, y) + (−y + 7, x) B. (x, y) → (−x + 7, y) C. (x, y) → (-y. +7) D. (x, y) (y 7,2) C 4 $ 95 D A 8 B y 9 2 N U -28 N 4 C Reset Next Ex U acer 口 Sign out