SOLUTION: The desert temperature oscillates sinusoidally between 40◦F at 5am to 80◦F at 5pm, then down again to 40◦F at 5am the next day. Let the temperature, H, in fahrenh
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-> SOLUTION: The desert temperature oscillates sinusoidally between 40◦F at 5am to 80◦F at 5pm, then down again to 40◦F at 5am the next day. Let the temperature, H, in fahrenh
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Question 1082416: The desert temperature oscillates sinusoidally between 40◦F at 5am to 80◦F at 5pm, then down again to 40◦F at 5am the next day. Let the temperature, H, in fahrenheit, be a function of the time t, in hours since 5am.
Sketch a graph of H against t over a 72 hour period, from t = 0.
Find a formula for H in terms of t. Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Amplitude is 1/2 the range,
Mean value is the average of the two extremes,
Time to complete one cycle (period) is,
So the period is
Doesn't start at mean value, it starts at the lower extreme so there is a phase angle. Dial it back one quarter period.
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