Find the volume of the following solid. z=2ex-y 4z The solid S between the surfaces z = 2 ex-y and z= - ex-y, where S intersects the xy-plane in the region R = {(x,y): 0 sxsy, 0sys 1} R - ex-y The volume of the solid is cubic units. (Type an exact answer.)Sketch the region of integration and evaluate the following integral. J J 12x2 dA; R is bounded by y= 0, y= 6x + 12, and y= 3x . R Sketch the region of integration. Choose the correct graph below. O A. B. O C. OD. 25 25- Evaluate the integral. 12x2 dA= 1608 RReverse the order of integration in the following integral. 1 12 e * fix,y) dy dx 0 12 Reverse the order of integration. 12 e f(x,y) dx dy (Type exact answers.)Sketch the region of integration and evaluate the following integral. 7xy dA; R is bounded by y = 3-x, y= 0, and x= 9-y' in the first quadrant. R Sketch the region R. Choose the correct graph below. O A. B. O C. OD. Ay 10 Evaluate the integral. JSTxy dA = 11907 8 R (Simplify your answer. Type an integer or a fraction.)