Find the center of mass of a thin plate of constant density covering the given region.The region between the curve y = 
and the x-axis from 
to 
A. 
= 
, 
= 
ln 36
B. 
= 
, 
= 
ln 36
C. 
= 860, 
= 36 ln 36
D. 
= 
ln 36, 
= 
Answer: A
Mathematics
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Solve the system by graphing.2x + 3y = 183x + 2y = 22 
A. {(2, 6)} B. {(6, 2)} C. {(2, 16)} D. ?; inconsistent system
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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = x2 - 3, y = 2x, x = 0, for x ? 0
A. 18?
B. 
?
C. 45?
D. 
?
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Find the sum.-8.5 + [(-3.7) + (-4.7)]
A. 7.5 B. 0.1 C. 9.5 D. -16.9
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Find the derivative.y = (3x2 + 5x + 1)3/2
A. 
= 
(3x2 + 5x + 1)1/2
B. 
= 
(6x + 5)(3x2 + 5x + 1)1/2
C. 
= (3x2 + 5x + 1)1/2
D. 
= (6x + 5)(3x2 + 5x + 1)1/2
Mathematics