Compute the determinant of the matrix by cofactor expansion.
A. -90
B. 90
C. 0
D. -30
Answer: B
Mathematics
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Simplify the given expression. Expansion of any term is not necessary; proper recognition of the form of the expression leads to the proper result.4 sin 2x cos 2x
A. 
sin 16x
B. cos 4x
C. cos 8x
D. 2 sin 4x
Mathematics
Factor.20z4 + 3z2 - 9
A. (5z2 + 3)(4z2 - 3) B. (5z4 + 3)(4z - 3) C. (4z2 + 3)(5z2 - 3) D. (4z4 + 3)(5z - 3)
Mathematics
Solve the problem.Find the centroid of a hemispherical shell having outer radius 6 and inner radius 4 if the density varies as the square of the distance from the base.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Mathematics
Solve the equation for the indicated variable.S = 2?rh + 2?r2
for h
A. h = 
- 1
B. h = 2?(S - r)
C. h = 
D. h = S - r
Mathematics