Yesterdays temperature at t hours past midnight was f(t) C. At noon the temperature was

Chapter 2, Problem 22

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Yesterdays temperature at t hours past midnight was f(t) C. At noon the temperature was 20C. The first derivative, f(t), decreased all morning, reaching a low of 2C/hour at noon, then increased for the rest of the day. Which one of the following must be correct? (a) The temperature fell in the morning and rose in the afternoon. (b) At 1 pm the temperature was 18C. (c) At 1 pm the temperature was 22C. (d) The temperature was lower at noon than at any other time. (e) The temperature rose all day. 2

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