Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: upper hemisphere of x2 + y2 + z2 = 25 cut by the plane z = 0Density: ? = 2
A. Iz = 50?
B. Iz = 
?
C. Iz = 125?
D. Iz = 500?
Answer: B
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Sketch D and g(D) from the description of D and change of variables 
x = u2 - v2, y = 2uv where D is the rectangle 0 ? u ? 1, 0 ? v ? 1
A.
 ? |  |
B.
 ? |  |
C.
 ? |  |
D.
 ? |  |
Find the function with the given derivative whose graph passes through the point P.g'(x) =
+ 2x , P(-2, 2)
A. g(x) = 
+ x2 + 
B. g(x) = 
+ x2 - 
C. g(x) = - 
- x2 - 
D. g(x) = - 
+ x2 - 
Answer the question or solve the problem.I'm thinking of a number. The number is odd. The number is a multiple of 3. The number is less than 5 ? 8 + 17. The number is greater than 42. The sum of its digits is divisible by 12. What is the number?
A. 57 B. 39 C. 48 D. Not enough information to know
Establish the identity.cos
= 
cos x - 
sin x
What will be an ideal response?