Application Exercises In Exercises 43-44, use a calculator in radian mode in parts (b) and (c). The number of hours of daylight H , on day t of any given year (on January 1 , t = 1 ) in Fairbanks, Alaska, can be modeled by the function H ( t ) = 12 + 8.3 sin [ 2 π 365 ( t − 80 ) ] . a. March 21, the 80th day of the year, is the spring equinox Find the number of hours of daylight in Fairbanks on this day b. June 21, the 172nd day of the year, is the summer solstice, the day with the maximum number of hours of daylight. To the nearest tenth of an hour, find the number of hours of daylight in Fairbanks on this day c. December 21, the 355th day of the year, is the winter solstice, the day with the minimum number of hours of daylight Find, to the nearest tenth of an hour, the number of hours of daylight in Fairbanks on this day.
Application Exercises In Exercises 43-44, use a calculator in radian mode in parts (b) and (c). The number of hours of daylight H , on day t of any given year (on January 1 , t = 1 ) in Fairbanks, Alaska, can be modeled by the function H ( t ) = 12 + 8.3 sin [ 2 π 365 ( t − 80 ) ] . a. March 21, the 80th day of the year, is the spring equinox Find the number of hours of daylight in Fairbanks on this day b. June 21, the 172nd day of the year, is the summer solstice, the day with the maximum number of hours of daylight. To the nearest tenth of an hour, find the number of hours of daylight in Fairbanks on this day c. December 21, the 355th day of the year, is the winter solstice, the day with the minimum number of hours of daylight Find, to the nearest tenth of an hour, the number of hours of daylight in Fairbanks on this day.
Solution Summary: The author calculates the number of hours of daylight in Fairbanks on March 21, the 80th day of the year.
In Exercises 43-44, use a calculator in radian mode in parts (b) and (c).
The number of hours of daylight H, on day t of any given year (on January
1
,
t
=
1
) in Fairbanks, Alaska, can be modeled by the function
H
(
t
)
=
12
+
8.3
sin
[
2
π
365
(
t
−
80
)
]
.
a. March 21, the 80th day of the year, is the spring equinox Find the number of hours of daylight in Fairbanks on this day
b. June 21, the 172nd day of the year, is the summer solstice, the day with the maximum number of hours of daylight. To the nearest tenth of an hour, find the number of hours of daylight in Fairbanks on this day
c. December 21, the 355th day of the year, is the winter solstice, the day with the minimum number of hours of daylight Find, to the nearest tenth of an hour, the number of hours of daylight in Fairbanks on this day.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.