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4. Design a sine function that has a period of 20 minutes with a minimum value of 2 at t = 18 minutes and a maximum value of 10 at t = 8 minutes. 5. For a typical adult, the amount of air inhaled during a normal breathing cycle is 480 mL. That sume amount is then exhaled and 1800 mL of air remains in the lungs after exhalation. For an average person, a single breathing cycle takes about 4 seconds. (a) Using a sine function, write an equation that models the total amount of air A(l) in the lungs as a function of time. (b) Graph two periods of the function. Label on the t axis the times at which the person is begining to inhale with t, and the times at which the person is beginning to exhale with ts. 6. Find the equation of a parabola that passes through points (0,2), (2,3) and (3,2).