Find the centroid of the region.
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Answer: A
Mathematics
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Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = x6 ln(1 + 4x)
A. 
B. 
C. 
D. 
Mathematics
For what values of x does the series converge absolutely?
A. 0 < x < ? B. 0 ? x < ? C. -? < x < 0 D. -? < x < ?
Mathematics
Solve the problem.A car window is in the shape of a right triangle with sides 7 in. and 8 in. and a mass of 6 lb. Find the moment of inertia of the window with respect to its hinges on the side of length 7 in.
A. 49 lb?in.2 B. 64 lb?in.2 C. 384 lb?in.2 D. 448 lb?in.2
Mathematics
Find the length of the curve.x = 2t, y = 
t 3/2, 0 ? t ? 21
A. 39
B. 82
C. 78
D. 
Mathematics