Determining temperatures A meteorologist determines that the temperature T (in °F) for a certain 24-hour period in winter was given by the formula T = (t- 12)(t- 24) for 0 sts 24, where t is time in hours and t = 0 corre- sponds to 6 A.M. (a) When was T> 0, and when was T< 0? (b) Sketch the graph of T. (c) Show that the temperature was 32°F sometime between 12 noon and 1 P.M. (Hint: Use the intermediate value theorem.)

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