Question 1 (20 points) For each question, fill in the correct response. Please clearly indicate your choice; ambiguous answers will not receive credit. In this problem, there is no partial credit awarded and it is not necessary to show your work. (a) (4 points) Evaluate the iterated integral xe' dy dx. O e-1 O 4-e O 2e O 3-e O e- 2 lod amen O 3e (b) (4 points) Find the rectangular coordinates (x, y, z) of the point with spherical coordinates p = 4, 0 = = O ( V6, V2, 2 V2) O ( V2 , V2 , 2 V2 ) 0 ( V6 , V6 , 2 V3 ) O ( V2, V6 , 2 V2 ) O ( V6 , 2 3 , 2 V6) O ( V2 , 2 V3, 2 V2 ) (c) (4 points) Estimate the volume of the solid that lies below the surface z = 2x + 3yz and above the square R = [0, 2] x [0, 2]. Use a Riemann sum with m = n = 2 and choose the sample points to be lower left corners. O 13 O 24 O 10 0 8 0 5 O 21