Find the root. Assume that all variables represent positive numbers.

A. 72m16n14
B. 12m16n14
C. 72m9n8
D. 12m9n8


Answer: D

Mathematics

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Solve the problem.When the angular displacement ? of a pendulum is small (less than about 6°), the pendulum moves with simple harmonic motion closely approximated by  where  g is the acceleration due to gravity, and l is the length of the pendulum. Find ? as a function of time (in sec) if    

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A. ? = -2 cos 1.4t + 0.1 sin 1.4t
B. ? = 0.1 cos 1.4t
C. ? = -2 sin 1.4t + 0.2 cos 1.4t
D. ? = -2 sin 1.4t + 0.1 cos 1.4t

Mathematics

Estimate the answer by rounding as indicated.Estimate by rounding to the nearest hundred.

A. 700 B. 300 C. 200 D. 219

Mathematics

Find the extreme values of the function and where they occur.y = x2e-x + 2xe-x

A. Minimum value is 2e (1 -  ) at x = -; maximum value is 2e- (1 +  ) at x = .
B. Minimum value is 2e (1 -  ) at x = -; no maximum value.
C. Maximum value is 2e- (1 +  ) at x = ; no minimum value.
D. None

Mathematics

The graph of a function f is given. On the same axes, sketch the graph of f-1. 

A.

B.

Mathematics