12. The volume V(t) of air (in cubic inches) in an adult's lungs t seconds after exhaling is π π given by the function V(t) = 24.5 sin +55. 2 -t 2 (a) Determine the maximum amount of air in the lungs. (b) How often does the adult exhale? (c) How many breaths per minute does the adult take? (d) What is the practical interpretation of the number 55 in the formula?

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…

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grade 11 level math