The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = cos (5t)i + 2ln(t - 9)j - 
k
A. v(0) = -
j
B. v(0) = 
j
C. v(0) = -5i - 
j
D. v(0) = 5i - 
j
Answer: A
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Evaluate the integral.
d?
A. 
+ C
B. ln (1 + e3?) + C
C. 3 ln (1 + e3?) + C
D. 
+ C
Provide the proper response.Is 
Fill in the blank(s) with the appropriate word(s).
Provide an appropriate response.A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school will take longer than 345 seconds to run the mile.
A. 0.0107 B. 0.4893 C. 0.9893 D. 0.5107
Solve the problem.Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 20 mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?
A. 100 miles B. 110 miles C. 120 miles D. 95 miles