1. Evaluate the triple integral
Evaluate the triple integral. {image} where {image} Select the correct answer. The choices are rounded to the nearest tenth. 1
-1.5
0.8
0.5
0.2 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

2. Evaluate the triple integral
Evaluate the triple integral. {image} where E is bounded by the cylinder {image} and the planes x = 0, {image} and z = 0. 56 17
224 63
116 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

3. Express the integral {image} as an iterated integral of the form {image} where E is the solid bounded by the surfaces {image} y = 0, and y = 3. 1.
{image} 2. 3. 4. 5. 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

4. Find the mass of the solid E, if E is the cube given by {image} and the density function {image} is {image} 25
15,625
125 5
3,125 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

5. The joint density function for random variables X, Y and Z is f (x, y, z) = C xyz for {image} and f (x, y, z) = 0 otherwise. Find the value of the constant C to the nearest thousandth.
0.032
312.5
0.003
0.16
0.02 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