In the theory of biorhythms, a sine function of the form

Chapter 6, Problem 93

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In the theory of biorhythms, a sine function of the form P1t2 = 50 sin1vt2 + 50 is used to measure the percent P of a persons potential at time t, where t is measured in days and t = 0 is the persons birthday. Three characteristics are commonly measured: Physical potential: period of 23 days Emotional potential: period of 28 days Intellectual potential: period of 33 days (a) Find v for each characteristic. (b) Using a graphing utility, graph all three functions on the same screen. (c) Is there a time t when all three characteristics have 100% potential? When is it? (d) Suppose that you are 20 years old today 1t = 7305 days2 Describe your physical, emotional, and intellectual potential for the next 30 days.

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