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 = 1 s, 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) If Meagan rocks back and forth 40 times only, what is the domain of the function? d) e) f) g) What is the range of the function in part (c)? What is the amplitude of the function, and what does it represent in this situation? What is the equation of the sinusoidal function? What is the distance between the wall and the chair at t = 8 s?

Find the Period of the equation: y = 6 cos (2x)

Graph two full periods of the function f(x)=cos(2x) and state the amplitude and period. Amplitude A = period P =

Consider the following function. y = -3.5 cosx + 4) (a) Using pencil and paper, not a graphing utility, determine the amplitude, period, and phase shift for the function. amplitude period phase shift (b) Use a graphing utility to graph the function for two complete cycles. [In choosing an appropriate viewing rectangle, you will need to use the information obtained in part (a).] y y 4 4| 2. -12 \12 я - 12 12 л - 6 -2 2 -4 y y 4 4- 2 2 -3 12 л - 3 12 л - 9 -2 (c) Use the graphing utility to estimate the coordinates of the highest points on the graph. (Round your answers to two decimal places.) (x, y) = (smaller x-value) (x, y) = (| (larger x-value) Use the graphing utility to estimate the coordinates of the lowest points on the graph. (Round your answers to two decimal