For the given geometric sequence, find an and the sum of the terms from a1 to an. 2, 10, 50, 250 ... ; find a9 

A. 390,627; 45
B. 781,250; 18
C. 250; 976,562
D. 781,250; 976,562


Answer: D

Mathematics

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A ball is tossed upward and then falls to the ground. Its height after t seconds is given by the function . During the period the rock is falling, what can be said about ? ?

A.  is positive.
B.  is negative.
C.  is zero.
D. None of the above

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Evaluate the integral. 

A.   + 18 sin-1  + C
B. sin-1  + C
C.   - 18 ln  + C
D.   + 18 sin-1  + C

Mathematics

Solve the problem by integration.The force F (in lb) exerted by a robot programmed to staple carton sections together is given by  where t is the time (in s). Find F as a function of t if  for 

A. F = 8esin ?t + 
B. F = esin ?t - 
C. F = 8esin ?t - 
D. F = esin ?t + 

Mathematics

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = (sin x)cos x

A. (sin x)cos x(cos x cot x - sin x ln (sin x)) B. cos x ln ( sin x) C. cos x cot x - sin x ln(sin x) D. cos x cot x - ln (sin x)

Mathematics