Find the center of mass of a thin plate of constant density covering the given region.The region between the x-axis and the curve y = 6csc2 x, 
? x ? 
A. 
= 
, 
= 6
B. 
= 
, 
= 9
C. 
= 
, 
= 4
D. 
= 
, 
= 8
Answer: C
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Solve the problem.In a certain lottery, 3 different numbers between 1 and 12 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.
A. 1320 B. 6 C. 220 D. 1728
Rationalize the denominator.
A. 
B. 
C. 
D. 
Solve the problem.A mechanic is testing the cooling system of a boat engine. He measures the engine's temperature over time. Use a graphing utility to fit a logistic function to the data. What is the carrying capacity of the cooling system?
A. y = 
, 312°F
B. y = 
, 315°F
C. y = 
, 315°F
D. y = 
, 307°F
Solve, using the substitution method, and check.
A. (0, 0) B. (8, -16) C. (3, -11) D. (7, -17) E. (5, -10)