Simplify the expression.
A. 
B. - 
C. 
D. 
Answer: A
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Solve the problem.Frustum of a cone
A small cone has been removed from the top of the original cone. What is the ratio of the volume of the original cone to the volume of the small cone which was removed, given that the radius of the original cone is twice the radius of the small cone?[Hint: Use similar triangles]
A. 4 : 1 B. 8 : 3 C. 8 : 1 D. 2 : 1
Solve the problem.Find the center of mass of a thin infinite region in the first quadrant bounded by the coordinate axes and the curve 
if 
.
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Find an equation of a parabola satisfying the given conditions.Focus at (9, 0), directrix x = -9
A. y = 
x2
B. -36y = x2
C. x = 
y2
D. y2 = -36x
Solve the problem.A hot dog stand sells hot dogs with cheese, relish, chili, tomato, onion, mustard, or ketchup. How many different hot dogs can be concocted using any 4 of the extras?
A. 210 B. 840 C. 420 D. 35