Solve the problem.How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 650e-0.189t, where t is the time in years? Round your answer to the nearest hundredth year.
A. 122.85 years
B. 3.67 years
C. 34.27 years
D. 37.94 years
Answer: B
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Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded above by the line y = 1, below by the curve y = 
, and on the left by the y-axis, about the line y = - 1
A. 
?2 - 
?
B. 
? - 
C. 
?2 + 
?
D. 
?2 - 
?
Find the function value.f(x) = x2 + 2x + -6, find f(2)
A. 2 B. 6 C. 14 D. -6
Solve the problem.Assume that the elevation E, in feet, of a sag in a proposed route is given by 
where x represents the horizontal distance in feet along the proposed route and 0 ? x ? 5000. For what x-values is the elevation 1150 feet? Round your answer to the nearest foot.
A. x = 556 ft or x = 7510 ft B. x = 556 ft or x = 7500 ft C. x = 566 ft or x = 7510 ft D. x = 566 ft or x = 7500 ft
Determine the values of x for which f(x) and g(x) are inverse functions.f(x) = x2 - 13, g(x) = -
A. x ? 0 B. x ? 13 C. x ? 0 D. x ? 13