14. Meagan is sitting in a rocking chair. The distance, d (t), between the wall and the rear of the chair varies sinusoidally with time t. At t = 1s, the chair is closest to the wall and d (1) = 18 cm. At t = 1.75 s, the chair is farthest from the wall and d (1.75) = 34 cm.

a) What is the period of the function, and what does it represent in this situation?

b) How far is the chair from the wall when no one is rocking in it?

c) What is the equation of the sinusoidal function?

d) What is the distance between the wall and the chair at t = 8 s?

e) If Meagan rocks back and forth 40 times only, what is the domain of the function?

f) What is the range of the function in part (e)

g) What is the amplitude of the function, and what does it represent in this situation?

Can anyone please answer these questions, step by step, and thanks