Researchers find a creature from an alien planet. Its body temperature is varying sinusoidally with time. 32 minutes after they start timing, it reaches a high of 124 degrees fahrenheit. 26 minutes after that it reaches its next low, 102 degrees fahrenheit. Write an equation expressing the temperature in terms of the number of minutes since they started timing. What was the temperature when they first started timing? 

Expert Answers

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The equation of the temperature T as a function of time t is of the form:

`T=asin(b(t-c))+d`

where a is the amplitude, `(2pi)/b` is the period, c is the horizontal shift or phase and d is the vertical shift.

Calculate a

`a=(124-102)/2=11`

The difference between the time at the high and the time at the low is equal to half the period, then:

(The entire section contains 183 words.)

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