Solve the problem.A reflecting telescope has a mirror shaped like a paraboloid of revolution. If the distance of the vertex to the focus is 27 feet and the distance across the top of the mirror is 80 inches, how deep is the mirror in the center?
A. 
in.
B. 
in.
C. 
in.
D. 
in.
Answer: D
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Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. 2 ln 
- 
+ ln 
+ 
tan-1 
+ C
B. 5 ln 
+ 
- ln 
+ sin-1 
+ C
C. 7 ln 
+ ln 
+ 
tan-1 
+ C
D. 2 ln 
+ ln 
+ 
tan-1 
+ C
Solve the problem.A ball is dropped from a cliff that is 192 feet high. The distance S (in feet) that it falls in t seconds is given by the formula 
How many seconds will it take for the ball to hit the ground? Round to the nearest tenth when necessary.
A. 2304 sec B. 3.5 sec C. 13.9 sec D. 13.3 sec
Classify the following as true or false.The product of a non-zero rational number and an irrational number is irrational.
A. True B. False
Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1.3loga q - 
loga r + 
loga f - 5loga p
A. loga (3q - 
r + 
f - 5p)
B. loga 
C. loga 
D. loga 