Solve the problem by integration.An object at the end of a spring is immersed in liquid. Its velocity (in cm/sec) is then described by the equation 
where t is the time (in sec). Find the displacement s as a function of t if 
for t = 0 sec.
A. s = e-3t + 
e-9t - 
B. s = -e-3t + 
e-9t + 
C. s = -e-3t - 
e-9t - 
D. s = -e-3t - 
e-9t + 
Answer: D
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Solve the problem.The water is drained from a tank by opening a valve at the bottom of the tank. The depth of the water in the tank t hours after the valve is opened is d(t) = 6
2 meters. If the valve is opened at 1 pm, what is the depth of water at 3 pm?
A. 5.83 meters B. 3.38 meters C. 5.00 meters D. 4.17 meters
The graph of a function f is given. Use the graph to answer the question.Find the numbers, if any, at which f has a local minimum. What are the local minima?
A. f has a local minimum at x = -2 and 2; the local minimum is 0 B. f has a local minimum at x = -2; the local minimum is 0 C. f has a local minimum at x = 0; the local minimum is 1 D. f has no local minimum
Find the vertex.f(x) = 4x2 + 8x + 8
A. (4, -1) B. (-4, 1) C. (1, -4) D. (-1, 4)
Solve and graph. Write the solution in interval notation.5 
+ 4 ? 22
A. 
B. 
? 
C. 
D. 
