Determine if the series converges or diverges; if the series converges, find its sum.

A. Converges; 1
B. Converges; ln 
C. Converges; ln 9
D. Diverges


Answer: D

Mathematics

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Find the perimeter.

A. 47 in. B. 58 in. C. 144 in. D. 59 in.

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Sketch the graph of the function. Describe how the graph can be obtained from the graph of a basic logarithmic function.f(x) = ln(x + 2)

A. Shift y = ln x left 2 units

B. Shift y = ln x right 2 units

C. Shift y = ln x right 2 units

D. Shift y = ln x left 2 units

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

A. Yes B. No

Mathematics

Solve.Two radio transmitters are located 350 miles apart on a shore and send simultaneous signals to a ship that is 150 miles offshore. The signal from transmitter T arrives at the ship 200 microseconds after the signal from transmitter S. The signals travel at the speed of 0.186 miles per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. Let the center point between the transmitters correspond to the point (0, 0) and let the x-axis be oriented such that it contains the two transmitters. (Hint: For any point along the hyperbola, the absolute value of the difference of its distances from the foci is 2a.)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics