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. 
= 
?, 
= 
?
B. 
= 
?, 
= 
?
C. 
= 0, 
= 
?
D. 
= 0, 
= 
?
Answer: C
Mathematics
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Solve the problem.Let D be the region bounded below by the cone 
and above by the sphere 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Mathematics
Write the system of linear equations that the augmented matrix represents.
A.
| 5x | - 2y | = -2 |
| 6x | - 8y | = 8 |
B.
| -2x | + 5y | = -2 |
| 6x | - 8y | = 8 |
C.
| 5x | - 2y | = -2 |
| -8x | + 6y | = 8 |
D.
| 5x | - 2y | = 2 |
| 6x | - 8y | = -8 |
Mathematics
Graph the equation.(x - 1)2 + y2 = 4
A. 
B. 
C. 
D. 
Mathematics
Find an equation of the line that contains the given pair of points. Write the equation in the form y = mx + b.(-5, 0) and (8, 5)
A. y = 
x + 
B. y = - 
x + 
C. y = - 
x + 
D. y = 
x + 
Mathematics