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

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Answer: D

Mathematics

Solve.A punch recipe calls for 5 gallons of juice. How many liters is that? Round to the nearest tenth of a liter.

A. 1.3 L B. 5.3 L C. 4.8 L D. 19 L

Provide an appropriate response.Using a combination of words and graphs, explain the meaning of the equation 

What will be an ideal response?

Given the graph of the function f(x) = -x3 + 3x; find a formula for g(x) .f(x) = -x3 + 3xg(x) =?

A. g(x) = -x³ + 3x + 2
B. g(x) = -(x + 2)³ + 3(x + 2)
C. g(x) = (-x³ + 3x)
D. g(x) = 2(-x³ + 3x)

Solve the problem.What are the dimensions of a rectangular box, open at the top, which has maximum volume when the surface area is 48 in.2?

A. x = 4 in., y = 4 in., z = 2 in. B. x = 4 in., y = 2 in., z = 2 in. C. x = 8 in., y = 2 in., z = 6 in. D. x = 6 in., y = 6 in., z = 3 in.