(a)
To find: about what date is the amount of daylight increasing at the fastest rate and the rate.
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Answer to Problem 21E
The daylight is changing at the rate of
Explanation of Solution
Given Information:
The viewing window below shows the number of hours of daylight in Fairbanks, Alaska, on each day for a typical 365-day period from January 1 to December 31. Assume that each month has 30 days.
Calculation:
From the figure, the amount of daylight is increasing at the fastest rate when the slope of the graph is largest. The point is about one-fourth of the way through the year. That falls around April 1.
Since only 4 hours of sunlight is available during April 1.
And the number of days has been represented by 24 dots.
Thus, the rate at that time is approximately is
Therefore, the daylight is changing at the rate of
Chapter 2 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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