Solve the problem.The owner of a video store has determined that the profits P of the store are approximately given by  where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

A. $100
B. $200
C. $251
D. $151


Answer: D

Mathematics

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Rationalize the equation, then use it to solve the problem.The time T in seconds required for a pendulum of length L feet to make one swing is given by  How long is a pendulum (to nearest hundredth of a foot) if it makes one swing in 3 seconds? Use 3.14 for ?.

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Mathematics

Find the first two nonzero terms of the Maclaurin expansion of the given function.f(x) = excos x

A. x + x2 - ...
B.  + 2x - ...
C. 1 + x2 + ...
D. 1 + x - ...

Mathematics

Solve.The cross-sectional area of a rectangular duct is 240 square inches. If the length is 5 inches less than twice the width, what is the length of each side? Round to the nearest hundredth.

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Mathematics

Find the exact value of the logarithmic expression.log9 

A. -81 B. 3 C. 81 D. -3

Mathematics