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 San Diego, California, can be modeled by the function H ( t ) = 12 + 2.4 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 San Diego 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. Find, to the nearest tenth of an hour, the number of hours of daylight in San Diego 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. To the nearest tenth of an hour, find the number of hours of daylight in San Diego 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 San Diego, California, can be modeled by the function H ( t ) = 12 + 2.4 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 San Diego 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. Find, to the nearest tenth of an hour, the number of hours of daylight in San Diego 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. To the nearest tenth of an hour, find the number of hours of daylight in San Diego on this day.
Solution Summary: The author calculates the number of hours of daylight in San Diego 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 San Diego, California, can be modeled by the function
H
(
t
)
=
12
+
2.4
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 San Diego 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. Find, to the nearest tenth of an hour, the number of hours of daylight in San Diego 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. To the nearest tenth of an hour, find the number of hours of daylight in San Diego on this day.
Find a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14
and -3x - y + z = −21.
The equation of the plane is:
Determine whether the lines
L₁ : F(t) = (−2, 3, −1)t + (0,2,-3) and
L2 : ƒ(s) = (2, −3, 1)s + (−10, 17, -8)
intersect. If they do, find the point of intersection.
● They intersect at the point
They are skew lines
They are parallel or equal
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