Homework Sets Problem 2 Problem 3 Rewrite the integral: / /(xy)d A where R is the region in the first quadrant bounded by the lines y = 0 and y = x and by Problem 4 the circles y = \\2 - x2 and y = V1 - x2 using the transformation x = r cos(1), y = r sin(1). Problem 5 Problem 6 (a) Find the Image of R. Problem 7 () Find the image of the side S1 joining the vertices (, ), (1, 1): 1 = E , for E SIs (i) Find the image of the side S2 joining the vertices (1, 1), (v2, 0): r = , for I SIS (i) Find the image of the side $3 joining the vertices (v2, 0), (1, 0): 1 = , for E SIS (iv) Find the image of the side S4 joining the vertices (-, 2. ). (1,0): r = E , for sIs E (b) Find the Jacobian of the transformation (with alphabetical ordering): E E (c) Write the transformed integral: J S E drdt, where a = , b= C= E , and d = E (d) Evaluate the integral: E