14. The number of hours of daylight varies throughout the course of a year. In the Northern Hemisphere, the longest day is June 21, and the shortest is December 21. The average length of daylight is 12 h, and the variation from this average depends on the latitude. The graph below shows the number of hours of daylight at different times of the year for various latitudes. 20 18 16 14 12 Hours 10 60° N 8 50° N 40° N 30° N 4 20° N Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. In Philadelphia (40°N latitude), the longest day of the year has 14 h 50 min of daylight, and the shortest day has 9 h 10 min of daylight. a. Find a function L that models the length of daylight as a function of t, the number of days from January 1. b. An astronomer needs at least 11 hours of darkness for a long exposure astronomical photograph. On what days of the year are such long exposures possible? 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

Can you do a and b please?

14. The number of hours of daylight varies throughout the course of a year. In the Northern
Hemisphere, the longest day is June 21, and the shortest is December 21. The average length of
daylight is 12 h, and the variation from this average depends on the latitude. The graph below
shows the number of hours of daylight at different times of the year for various latitudes.
20
18
16
14
12
Hours 10
60°N
8
50° N
6.
40°N
30° N
4
20°N
2
Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.
In Philadelphia (40°N latitude), the longest day of the year has 14 h 50 min of daylight, and the
shortest day has 9 h 10 min of daylight.
a. Find a function L that models the length of daylight as a function of t, the number of days
from January 1.
b. An astronomer needs at least 11 hours of darkness for a long exposure astronomical
photograph. On what days of the year are such long exposures possible?
Transcribed Image Text:14. The number of hours of daylight varies throughout the course of a year. In the Northern Hemisphere, the longest day is June 21, and the shortest is December 21. The average length of daylight is 12 h, and the variation from this average depends on the latitude. The graph below shows the number of hours of daylight at different times of the year for various latitudes. 20 18 16 14 12 Hours 10 60°N 8 50° N 6. 40°N 30° N 4 20°N 2 Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. In Philadelphia (40°N latitude), the longest day of the year has 14 h 50 min of daylight, and the shortest day has 9 h 10 min of daylight. a. Find a function L that models the length of daylight as a function of t, the number of days from January 1. b. An astronomer needs at least 11 hours of darkness for a long exposure astronomical photograph. On what days of the year are such long exposures possible?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,