Factor completely.24k3m - 81m4
A. 3m(2k - 3m)(4k2 + 6km + 9m2)
B. 3m(8k - 3m)(k2 + 6km + 9m2)
C. (6km - 9m2)(4k2 + 9m2)
D. 3m(2k + 3m2)(4k2 - 6km + 9km2)
Answer: A
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A feasible region and its vertices are shown. Find the specified maximum or minimum value of the given objective function.
Maximum of K = 3x + y
A. 25 B. 39 C. 29 D. 7
Find the sum of the geometric series.4 + 16 + 64 + 256 + 1024
A. 1364 B. 1374 C. 1368 D. 1362
At time t = 0, an object attached to a coiled spring is at its resting position and moving down. 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 = 5;
T = 10 seconds
A. d = 5 sin (10t)
B. d = 5 cos 
C. d = -5 cos (10t)
D. d = -5 sin 
Solve the problem.A product of two oscillations with different frequencies such as f(t) = sin (10t) sin(t)is important in acoustics. The result is an oscillation with "oscillating amplitude." src="https://sciemce.com/media/4/ppg__ttt0527191152__f1q36g4.jpg" alt="" style="vertical-align: -4.0px;" /> last two functions constitute an "envelope" for the function g(t). For certain values of t, the two cosine functions in g(t) cancel each other out and near-silence occurs; between these values, the two functions combine in varying degrees. The phenomenon is known (and heard) as "beats." For what values of t do the functions cancel each other?
What will be an ideal response?
the product f(t) of the two oscillations as a sum of two cosines and call it g(t).
a graphing utility, graph the function g(t) on the interval 0 ? t ? 2?.
the same system as your graph, graph y = sin t and y = -sin t.