Given information: The number of hours of daylight that occur at any location on Earth depends on the time of year and the latitude of the location. The equations below model the numbers of hours of daylight in Seward, Alaska (60° latitude), and New Orleans, Louisiana (30° latitude). D=12.2-6.4 cos [ n(t + 0.2)/182.6] Seward, Alaska D=12.2-1.9 cos [ n(t + 0.2)/182.6 ] New Orleans, Louisiana In these models, D represents the number of hours of daylight and t represents the day, with t=0 corresponding to January 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 47E
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ial
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Given information:
The number of hours of daylight that occur at any location on Earth depends on the time of year
and the latitude of the location. The equations below model the numbers of hours of daylight in
Seward, Alaska (60° latitude), and New Orleans, Louisiana (30° latitude).
D = 12.26.4 cos [ n(t + 0.2)/182.6] Seward, Alaska
D = 12.2 - 1.9 cos [ n(t + 0.2)/182.6 ] New Orleans, Louisiana
In these models, D represents the number of hours of daylight and t represents the day, with t=0
corresponding to January 1.
Questions:
GE
Find the amount of light Seward receives on March 1. (Assume it is not a leap year.)
Which city has the greater variation in the number of hours of daylight? Which constant
in each model would you use to determine the difference between the greatest and least
numbers of hours of daylight?
● Determine the period of each model.
Find the days of the year on which both cities receive the same amount of daylight.
J
| 4 TI 5|1
= = =
1
21
amazon
kw
Transcribed Image Text:sions Help Last edit was seconds ago 11 + BIUA ial ● 1 ● T ● P 4 23 Given information: The number of hours of daylight that occur at any location on Earth depends on the time of year and the latitude of the location. The equations below model the numbers of hours of daylight in Seward, Alaska (60° latitude), and New Orleans, Louisiana (30° latitude). D = 12.26.4 cos [ n(t + 0.2)/182.6] Seward, Alaska D = 12.2 - 1.9 cos [ n(t + 0.2)/182.6 ] New Orleans, Louisiana In these models, D represents the number of hours of daylight and t represents the day, with t=0 corresponding to January 1. Questions: GE Find the amount of light Seward receives on March 1. (Assume it is not a leap year.) Which city has the greater variation in the number of hours of daylight? Which constant in each model would you use to determine the difference between the greatest and least numbers of hours of daylight? ● Determine the period of each model. Find the days of the year on which both cities receive the same amount of daylight. J | 4 TI 5|1 = = = 1 21 amazon kw
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