Questions 12,18,22 please

2.4 Triple Integrals 149 . . . sin mix cosy sin 22 dy ar de 18. The prism in the first octant bounded by z = 2 - 4x and y = 8 H 21 13. ( 17 + 1 + 12) dv; D - ((x,y,2): -1 5x 3 1. rea orks -2 5 ) $ 2, -3 5 z5 3) note 14. nze '-P av. D = ( (x.).2): 03rs Vin2, 19. The wedge above the xy-plane formed when the cylinder 202 0 sys Vin4 0 = = = 1} x2 + y? = 4 is cut by the planes z - 0 and y - -z n M 15-24. Volumes of solids Find the volume of the following solids using triple integrals. n W 15. The solid in the first octant bounded by the plane 2r + 3y + 6z = 12 and the coordinate planes 20 (0, 4, 0) 20. The wedge bounded by the parabolic cylinder y " x and the planes z - 3 - y and z - 0 20 (6. 0, 0) 2 + 3y + 6: = 12 16. The solid in the first octant formed when the cylinder z - sin y, for 0 S y S 7, is sliced by the planes y = x and x = 0 lay z = sin y (0. TT, 0) 21. The solid between the sphere x + y + z - 19 and the hyper- boloid z- - x - y? = 1, for z > 0 20 (TT, TT, 0) 17. The solid bounded below by the cone z = Vx2 + y and bounded above by the sphere x2 + y + 2 = 8 , 202 (0, 0, V8) 1+32+2=8 22. The solid bounded by the surfaces z - e and z - 1 over the rectangle { (x, y) : 0 s x = 1,0 = y = In 2} 202 In 2 2021 2021