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.
How does the formula for the general sine function ƒ(x) =Asin ((2p>B)(x - C)) + D relate to the shifting, stretching, compressing, and reflection of its graph?
Write a function of the form y = A cos (Bx − C) + D that has period pi/4, amplitude 2, phase shift -pi/3, and vertical shift 7.
Chapter 4 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Precalculus (6th Edition)
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