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Work Problem 2 (45 points) You must provide a clear and detailed solution for each question Question 1 [20 points] Given the region D in R2 enclosed by y =0, y =2, x =1 a. [8 points] Sketch the region D b. [12 points] Compute the iterated double integral SS 3xy2 dA Question 2 [25 points] Given the function f(x, y) - 2 -2 + 2x2 -2 a. [10 points] Find the critical points of f, and determine which of these critical points related to maximum, minimum, and saddle points of f(x, y) b. [10 points] find the rate of change of f at the point (-1, 1) in the direction of the vector i. c. [5 points] find the maximum rate of change of f at the point ( 1, 1)