Problem 49
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one complete revolution every 20 s, find an equation that gives the height above the ground of a person on the Ferris wheel as a function of time. (Figure cant copy)
Problem 53
Circadian rhythms are biological processes that oscillate with a period of approximately 24 h. That is, a circadian rhythm is an internal daily biological clock. Blood pressure appears to follow such a rhythm. For a certain individual the average resting blood pressure varies from a maximum of 100 mmHg at 2:00 p.m. to a minimum of 80 mmHg at 2:00 a.m. Find a sine function of the form $$f(t)=a \sin (\omega(t-c))+b$$ that models the blood pressure at time \(t,\) measured in hours from midnight.
Problem 77
Solving Trigonometric Equations Graphically Find all solutions of the equation that lie in the interval \([0, \pi]\). State each answer rounded to two decimal places. $$\cos x=0.4$$