The desert temperature, H, oscillates daily between 42°F at 6am and 82°F at 6pm. (a) Write a possible formula for H, measured in hours from 6am. Use the form H(t) = Acos(Bt) + C. H(t) = (b) How fast is the temperature changing at noon? Give an exact simplified answer. degrees per hour ✓

A ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes. A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 1 full revolution in 8 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 exact answers b. Assume that a person has just boarded 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). Hints: •What is the value of h(0) • Is this the maximum value of h(t), the minimum value of h(t), or a value between the two? • The function sin(t) has a value between its maximum and minimum at t=0, so can h(t) be a straight sine function? • The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine…

Loudness, L. is measured in decibels according to the equation L = 10 log1o R. where R is the relative intensity of the sound. Find the relative intensity at a fireworks display with a loudness of 130 decibals by solving the equation 130 - 10 log1, R. Show work for full credit, then pick your answer among the following and circle your answer. A.) 130 B.) 103 C.) 1300 D. 1310