The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the uv-plane. Using these information, find two correct answers from the following: y 8 (2,7) 6 4 R (6, 3) 2 2 4 6 8 R(2y-x)dA= ₁² -²3, (v - u) dudv 3v The area of the triangle R = 54 unit². ○ ſfr(2y — x)dA = fo³ f²3(v – u)dudv ¯ ¶¶r(²y − x)dA = ¼ fo° Sºv/3(v – u)dudv The Jacobian is equal to 1 OdA = 3dudv Under this transformation, one of the boundary of R is the map of the line v = u. -(0, 0) X