Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the semicircle y = 
if the density of the rod is 
.
A. 
= 0, 
= 
B. 
= 1, 
= 1
C. 
= 0, 
= 1
D. 
= 
, 
= 
Answer: A
Mathematics
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Set up an integral for the length of the curve.x = 3 tan y, 0 ? y ? 
A. 
B. 
C. 
D. 
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Find the area of the shaded region in the figure. Round results to the nearest unit. Use ? ? 3.14.
A. 1809 ft2 B. 7034 ft2 C. 1608 ft2 D. 6431 ft2
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Find all solutions to the equation. Express each result in radians.cot x sec x = 2 cot x
A. 
+ n?, 
+ n?, 0 + n?
B. 
+ 2n?, 
+ 2n?, 0 + n?
C. 
+ 2n?, 
+ 2n?, 0 + n?
D. 
+ n?, x = 
+ n?, 0 + n?
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Solve the system.y = log4(-x)y = log4(x + 8)
A. {(-2, 1)} B. {(4, 2)} C. {(-4, 2)} D. {(-4, 1)}
Mathematics