Use cylindrical coordinates to evaluate {image} where E is the solid that lies between the cylinders {image} and {image} above the xy-plane and below the plane z = x + 7 Select the correct answer. The choices are rounded to the nearest hundredth. 1.22 4.6 5.27 8.66 8.7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the mass of the solid S bounded by the paraboloid {image} and the plane z = 2 if S has constant density 10. Select the correct answer. The choices are rounded to the nearest hundredth. 7.49 7.26 15.71 8.45 17.36 9.14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Use spherical coordinates to evaluate {image} where E is bounded below by the cone {image} and above by the sphere {image} Select the correct answer. The choices are rounded to the nearest hundredth. 43.94 61.33 53.87 49.08 49.97 55.63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Use cylindrical or spherical coordinates, whichever seems more appropriate, to find the volume of the solid E that lies above the cone {image} and below the sphere {image} Select the correct answer. The choices are rounded to the nearest hundredth. 22.19 16.56 21.11 25.03 12.62 18.64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Evaluate the integral by changing to spherical coordinates: {image} Select the correct answer. The choices are rounded to the nearest hundredth. 15.09 15.56 12.88 10.09 7.62 12.94 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50