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On March 17, 1981, in Tucson, Arizona, the Temperature in Degrees

question 24

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On March 17, 1981, in Tucson, Arizona, the temperature in degrees Fahrenheit could be described by the equation T(t) =10cos(π12t) +55T ( t ) = - 10 \cos \left( \frac { \pi } { 12 } t \right) + 55 while the relative humidity in percent could be expressed by H(t) =25cos(π12t) +60H ( t ) = 25 \cos \left( \frac { \pi } { 12 } t \right) + 60 where t is in hours and t = 0 corresponds to 6 AM. Find the maximum value of the humidity.


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