Determining temperatures A meteorologist determines that the temperature T (in F) for a

Chapter 3, Problem 3.45

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

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