Solve the problem.The rate of expenditure on a particular machine is given by M'(x) = 15x
, where x is time measured in years. Maintenance costs for the second year are $140. Find the total maintenance function.
A. M(x) = 15(x2 + 5)3/2 + 125
B. M(x) = 5(x2 + 5)3/2 + 125
C. M(x) = 15(x2 + 5)3/2 + 5
D. M(x) = 5(x2 + 5)3/2 + 5
Answer: D
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Find the area of the specified region.Inside the lemniscate r2 = 6 sin 2? and outside the circle r = 
A. 3
- ? + 6
B. 2?
C. 3
- ?
D. 
(2? + 3
)
Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.
A. y = -(x + 4)2 B. y = -x2 - 4 C. y = -(x - 4)2 D. y = -x2 + 4
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing on (-3, 0); Decreasing on (-5, -3) and (2, 5); Constant on (0, 2) B. Increasing on (-3, -1); Decreasing on (-5, -2) and (2, 4); Constant on (-1, 2) C. Increasing on (-3, 1); Decreasing on (-5, -3) and (0, 5); Constant on (1, 2) D. Increasing on (-5, -3) and (2, 5); Decreasing on (-3, 0); Constant on (0, 2)
Graph the function by starting with the graph of 
and using transformations.f(x) = -2(x + 4)2 + 5
A. 
B. 
C. 
D. 