The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.s = 3t2 + 3t + 6, 0 ? t ? 2Find the body's displacement and average velocity for the given time interval.

A. 30 m, 15 m/sec
B. 18 m, 18 m/sec
C. 12 m, 15 m/sec
D. 18 m, 9 m/sec


Answer: D

Mathematics

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Use the table of values of f to estimate the limit.Let f(x) = , find f(x).

A.
 ; limit = 4.0
B.
 ; limit = 5.10
C.
 ; limit = ?
D.
 ; limit = 1.20

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Solve the problem.The base of a rectangular tank measures 6 ft by 12 ft. The tank is 19 ft tall, and its top is 10 ft below ground level. The tank is full of water weighing 62.4 lb/ft3. How much work does it take to empty the tank by pumping the water to ground level? Give your answer to the nearest ft ? lb.

A. 810,950 ft ? lb B. 3,286,483 ft ? lb C. 1,664,582 ft ? lb D. 811,140 ft ? lb

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Simplify the expression.(-5a)3

A. -125a3 B. -15a3 C. -125a D. -15a

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Construct the transition matrix that represents the data.If it snows today, there is a 70 percent chance of snow tomorrow; however if it does not snow today, there is a 40 percent chance that it will not snow tomorrow.

A.

B.

C.

D.

Mathematics