Factor completely. If the polynomial cannot be factored, say it is prime.x3 + 24x2 + 144x
A. x(x + 12)(x - 12)
B. x(x + 12)2
C. x(x - 12)2
D. prime
Answer: B
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Solve the problem.Find the length of the curve y = ln(sin x), ?/6 ? x ? ?/2
A. ln(
+ 2)
B. ln(
+ 1)
C. ln(
)
D. 1 - ln(
+ 2)
Factor out a factor with a negative coefficient.-25u4 + 15u3 - 10u
A. 5u(5u3 + 3u2 - 2) B. -5u(5u3 - 3u2 + 2) C. -5u4(5 - 3 + 2) D. None of these
Find the centroid of the region bounded by the curves.
An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 8;
T = 3 seconds
A. d = -8 sin 
B. d = -8 cos 
C. d = -3 cos 
D. d = -8 cos 