Yesterday’s temperature at t hours past midnight was f (t) degrees Fahrenheit. At noon the temperature was 50 degrees. The first derivative, f ‘ (t), decreased all morning, reaching a low of 2 degrees per 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 48 degrees. ( C ) The temperature was lower at noon than at any other time. ( D ) At 1 pm the temperature was 52 degrees From 1985 to 1990 a forester's grove of white pine trees grew from 80 ft to 90 ft tall. During the same period of time, his younger grove of oak trees grew from 25 to 35 feet tall. Which of the following is true? the average rate of change of the height for the white pine and oak was the same the average rate of change for the white pine was greater than for the oak the average rate of change for the oak was greater than that for the white pine it is not possible to compare the rates of change for the two
Yesterday’s temperature at t hours past midnight was f (t) degrees Fahrenheit. At noon the temperature was 50 degrees. The first derivative, f ‘ (t), decreased all morning, reaching a low of 2 degrees per 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 48 degrees.
( C ) The temperature was lower at noon than at any other time.
( D ) At 1 pm the temperature was 52 degrees
From 1985 to 1990 a forester's grove of white pine trees grew from 80 ft to 90 ft tall. During the same period of time, his younger grove of oak trees grew from 25 to 35 feet tall. Which of the following is true?
the average rate of change of the height for the white pine and oak was the same
the average rate of change for the white pine was greater than for the oak
the average rate of change for the oak was greater than that for the white pine
it is not possible to compare the rates of change for the two
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