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 = 2csc2 x, 
? x ? 
A. 
= 
, 
= 
B. 
= 
, 
= 2
C. 
= 
, 
= 3
D. 
= 
, 
= 
Answer: A
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Solve the problem.Find the unknown position of the weight to balance the beam.
A. 
B. 5
C. 
D. 
The following question refers to a school district with three high schools. The total number of students in the district is 3000. The teachers within the district are apportioned to the high schools based on the schools' respective enrollments. The standard quota for each school is given in the following table.
Find each school's apportionment of teachers under Webster's method.
A. North: 17; Central: 52; South: 31 B. North: 18; Central: 51; South: 31 C. North: 19; Central: 51; South: 30 D. North: 18; Central: 52; South: 30 E. none of these
Graph the solution set of the system of inequalities or indicate that the system has no solution.
A. 
B. 
C. 
D. 
Reduce the rational expression to lowest terms.
A. 
B. 
C. 
D. 