Solve the problem.The position of a weight attached to a spring is s(t) = -5 cos 12?t inches after t seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height? Round values to two decimal places, if necessary.
A. The maximum height of 10 inches is first reached after 3 seconds.
B. The maximum height of 10 inches is first reached after 6 seconds.
C. The maximum height of 5 inches is first reached after 6 seconds.
D. The maximum height of 5 inches is first reached after 0.08 seconds.
Answer: D
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Solve the problem.The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 6.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 5.0 and 7.5 minutes to find a parking spot in the library lot.
A. 0.2255 B. 0.0919 C. 0.7745 D. 0.4938
The position vector of a particle is r(t). Find the requested vector.The velocity at t = 
for r(t) = 4sec2(t)i - 10tan(t)j + 6t2k
A. v
= 16i - 20j + 3?k
B. v
= 16i + 20j - 3?k
C. v
= -20j - 3?k
D. v
= -20j + 3?k
Find the requested value.f(8) for f(x) = 
A. -32 B. 56 C. 64 D. 9
Calculate. Round to two decimal places if necessary.
A. 4 B. 14 C. 5 D. 8