Solve the problem.Find C(x) if C'(x) = 5x2 - 7x + 4 and C(6) = 260.

A. C(x) = x3 - x2 + 4x - 260
B. C(x) = x3 - x2 + 4x + 2
C. C(x) = x3 - x2 + 4x + 260
D. C(x) = x3 - x2 + 4x - 2


Answer: B

Mathematics

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Solve the problem.The data below represent the average monthly cost of natural gas in an Oregon home.   Above is the graph of 45.05 sin x superimposed over a scatter diagram of the data. Find the sinusoidal function of the form  which best fits the data.

A. y = 45.05 sin  + 66.25
B. y = 45.05 sin  + 21.20
C. y = 45.05 sin  + 21.20
D. y = 45.05 sin  + 66.25

Mathematics

Use the vertex to solve the application problem.An object is launched vertically in the air at 40 feet per second from a platform 50 feet above the ground. The height of the object above the ground (in feet) t seconds after launch is given by  How long does it take the object to reach its maximum height? What is the object's maximum height?

A. 2.5 sec; 75 ft B. 1.25 sec; 50 ft C. 2.5 sec; 50 ft D. 1.25 sec; 75 ft

Mathematics

Determine from the graph whether the function has any absolute extreme values on the interval [a, b].

A. No absolute extrema. B. Absolute minimum only. C. Absolute minimum and absolute maximum. D. Absolute maximum only.

Mathematics

Determine whether or not the function is one-to-one.f(x) = 3x2 + x

A. No B. Yes

Mathematics