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
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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
Evaluate the integral.
A.
+ 18 sin-1
+ C
B. sin-1 + C
C.
- 18 ln
+ C
D.
+ 18 sin-1
+ C
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 +
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)