Hours of Daylight In Philadelphia the number of hours of daylight on day t (where t is the number of days after January 1) is modeled by the function
- (a) Which days of the year have about 10 h of daylight?
- (b) How many days of the year have more than 10 h of daylight?
(a)
The days of the year that has about 10 hours of day light.
Answer to Problem 65E
The days of the year that has about 10 hours of day light is
Explanation of Solution
Given:
In Philadelphia the number of hours of daylight on day t is given by
Calculation:
Use online graphing calculator and obtain the graph of the given function
From Figure 1, it is observed that the required days are day 34 and day 308.
That is, the exact day is February 3rd and November 4th.
Therefore, the days of the year that has about 10 hours of day light is
(b)
The number of days of the year in which there are more than 10 hours of daylight.
Answer to Problem 65E
The number of days of the year in which there are more than 10 hours of daylight is
Explanation of Solution
Use online graphing calculator and obtain the graph of the given function
From Figure 2, it is observed that the shaded region is the days of the year in which there are more than 10 hours of daylight. That is, 308−34 = 274 days.
Therefore, the number of days of the year in which there are more than 10 hours of daylight is
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