Asked by Alex
Two consecutive days of the week experience a maximum temperature of 90 degrees F at 1:00pm and a minimum temperature of 44 degrees F at 1:00am. Write a cosine equation measured in house that would model this behavior. Let x=0 represent 1:00pm on the first day.
Answers
Answered by
Steve
since the range is 44-90, the amplitude is (90-44)/2 = 23
The period is 24 hours, so
t = 23cos(2pi/24 x)+67
t(0) = 23cos(0)+67 = 23+67 = 90
t(12) = 23cos(2pi/24 * 12)+67 = 23cos(pi)+67 = -23+67 = 44
The period is 24 hours, so
t = 23cos(2pi/24 x)+67
t(0) = 23cos(0)+67 = 23+67 = 90
t(12) = 23cos(2pi/24 * 12)+67 = 23cos(pi)+67 = -23+67 = 44
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