In Exercises 35-38, draw the region W and then set up but do not compute a single triple integral that yields the volume of W. 35. The region Wis bounded by the surfaces given by z=1-y², x=0 x=> and = 0, z + x = 3. 36. The region Wis bounded by the surfaces given by z = x = x², z + y = 1, and z − y = 1. 37. The region W is bounded by the surfaces given by z = y², y = z² 0,x+y+z = 4. and x = 38. The region W is underneath z = 1 − x² and also bounded by y = 0, z = 0, and y = 3 − x² — z². In Exercises 39-42, compute the average value of ƒ (x, y, z) 39. 40. 41. over the region W. f(x, y, z) = xy sin (πz); W = [0,1] × [0,1] × [0,1] f(x, y, z) = xyz; W 0 ≤ z ≤ y ≤ x ≤1 f(x, y, z) = e³; W : 0 ≤ y ≤ 1 - x², 0 ≤ z <x 42. f(x, y, z) = x² + y² + z²; bounded by the planes 2y+z = 1, x = 0, x = 1, z=0, and y = 0