The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 3 cos πT -t.+ 6 5 п 6 +5 where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m. Round your answer to the nearest hundredth. feet per hour

A table fan has a mark on the tip of one blade. The equation = = 23 cos (4x) + 38 represents the height of the mark, y centimetres, above the table x seconds after the fan is turned on. What is the height, in cm, of the mark above the table when it is closest to the table? Record your answer in the space provided below (digits only, no spaces).

zit.com -serp-php 30. Use the function f (x ) A. Find the period. = 3sin(2x- TT) to answer the questions. B. Find the amplitude.

tan B=14.87?

A piano tuner uses a tuning fork. If middle C has a frequency of 264 vibrations per second, write an equation in the form d = sin ωt for the simple harmonic motion.

Answer number 7

Find the amplitude for the periodic function y=-5cos(2x).   A. -5 B. 5 C. -2 D. 2

A Ferris wheel is 29 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = Number Midline: h Period: P = Number = Number meters meters minutes b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t = 0. Find a formula for the height function h (t).

Graph the following function y = 5sin (2x/5 -π/5) +2. What is the amplitude and period of the function?

A musician is playing a tuba. If she plays a note and holds it for a significant length of time, the air pressure near the opening of the tuba can be modeled by the following function. p(t) = 101,326.3 – 0.4 sin 345.6t In this equation, p (t) represents the air pressure in pascals, and t is the time in seconds. Find the following. If necessary, round to the nearest hundredth. Number of cycles of p per second: | Period of p : seconds Minimum air pressure: pascals