Use the following notations: r = radius of a circle, v = linear velocity, ? = angular velocity. Find the missing quantity. Round to the nearest tenth if necessary.r = 24 cm, ? = 65 rad/sec, v = ?
A. 1495 cm/sec
B. 1495 rad/sec
C. 1560 cm/sec
D. 1560 rad/sec
Answer: C
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (10t - 5t3)i + 2tan(3t)j + e3tk
A. a
= - 
?i - 72j + 9e1/4?k
B. a
= - 
?i - 72j + 9k
C. a
= - 
?i + 72j + 9e1/4?k
D. a
= 
?i + 72j + 9e1/4?k
The value V, in dollars, of an investment t years after 2010 is given in the following table. Use an exponential model for these data to determine when the value of the investment will be $18063. Round your answer to two decimal places. t 0 1 2 3 V $6005.00 $6245.20 $6495.01 $6754.81?
A. 4.12 years after 2005 B. 3.58 years after 2005 C. 28.58 years after 2005 D. 28.08 years after 2005
Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where 
, 
, and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 13 in. 3/sec, at what rate is P increasing when P = 70 lb/in.2 and V = 50 in.3? (Do not round your answer.)
A. 
lb/in.2 per sec
B. 
lb/in.2 per sec
C. 
lb/in.2 per sec
D. 
lb/in.2 per sec
Solve the problem.Jane wants to buy a photocopier. The salesperson has the following information on 3 models. If all 3 are used, a specific job can be done in 50 minutes. If copier A operates for 20 minutes and copier B for 50 minutes, one-half the job is finished. If copier B operates for 30 minutes and copier C for 80 minutes, three-fifths of the job is done. Which is the fastest copier, and how long does it take for this copier to finish the whole job?
A. A is fastest; 120 minutes B. C is fastest; 100 minutes C. B is fastest; 100 minutes D. C is fastest; 120 minutes