Let E be the region bounded above by a2 + y + 22 = 102 , within a + y = 82 , below by the re plane. Find the volume of E. Triple Integral Cylindrical Coordinates 107 8- 6- Z 4- 2- 10 -10 S -5 0 0 5 -5 10\fLet E be the region bounded below by the cone 2 = V9 - (32' + y') and above by the sphere 22 : 102 3:2 yz . Provide an answer accurate to at least 4 significant digits. Find the volume of E. Triple Integral Spherical Coordinates Cutout of sphere to for visual purposes If (5" is the solid region in the first octant between the spheres 3:2 + '92 + 22 : 1 and 3:2 | y2 + 2:2 : 16 then: 1 ff]? $2+y3+22 Consider [but do not attempt to solve) this initial value problem: $53; 2 ii = , t = y w _ 4 y( 0) 90 A unique solution is guaranteed to exist for all points (to, yo) except those for which