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1. Jamila was testing her thermostat. She recorded the temperature in her room every 15 minutes between noon and 5:00 P.M. She found that the temperature could be modeled by the equation T = 2 cos () + 70 where h is the number of hours after noon.
 
a. At what time(s) between noon and 1 P.M. was the temperature 70?  
 
b. During what times between noon and 3 P.M. is the temperature at least 71? Explain your reasoning.
 
c. Will the temperature ever be 74? How can you determine this without looking at the table of values or the graph of the function?

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