An amusement park has two ferris wheels that both load passengers at the bottom, 3 m above the ground. Both wheels require 40 seconds to complete one revolution. The larger ferris wheel has a diameter of 25 m and the smaller ferris wheel has a diameter of 10 m. The height of a passenger on each wheel can be expressed in the form h(t) = a cos[b(tc)] + d, where h(t) is the height above the ground in metres t seconds after the ride begins. 25 m 3m 14 O a and b O a and d TOT Ob and c Oc and d 10 m 3 m A 76 If the ferris wheels have the same period of rotation, then the two parameters that must be the same in the two functions are Ground

The lungs do not completely empty or completely fill in normal breathing. The volume of the lungs normally varies between 2200 ml and 2800 ml with a breathing rate of 21 breaths/min. This exchange of air is called the tidal volume. One approximation for the volume of air in the lungs uses the cosine function written in the following manner: V(t)=A+Bcos(ωt) where A, B, and ω are constants and t is in minutes. Use the data above to create a model, finding the constants.   How do I find these consonants?

Let us consider a pendulum swinging under the influence of gravitational force. Denote by y the angle of the pendulum with respect to the vertical, so that y = 0 corresponds to straight down. (Thus, y and y+2n are considered the same angle.) The (frictionless) motion of the pendulum is governed by the ODE mly" = -mg sin y, where l is the length of the pendulum rod, m is the mass, g is the gravitational constant. (a) Convert this second-order ODE into a system of first-order ODES. (b) For the system obtained in (a), let {w;}o and {z;};o denote the Euler approx- imations of the first and second components, respectively, with equal step size h. Write down the recurrence formulas for {w;}o and {z:}-o- (c) Suppose the initial position of the pendulum is y(0) = 0 and the initial velocity is y (0) = 1. Using the recurrence formulas obtained in (b), find wo, wi, wz and i=0- 20, 21, 2.