Cheyenne, Wyoming, has a latitude of 41° N. At this latitude, the number of hours of daylight D can be modeled by D 2.914 sin(0.017t 1.321) + 12.134 where t represents the day, with t= 1 corresponding to January 1. Use a graphing utility to determine the days on which there are more than 10 hours of daylight. (Round your answers to the nearest integer.) first day t=281 x last day t=281 x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Cheyenne, Wyoming, has a latitude of 41° N. At this latitude, the number of hours of daylight D can be modeled by
 
The force F (in pounds) on a person's back when he or she bends over at an angle 8 from an upright position is modeled by
0.6W sin(8 + 90°)
sin(12⁰)
F =
where W represents the person's weight (in pounds).
(a) Simplify the model.
F = 10.471W sec (0)
X
(b) Use a graphing utility to graph the model, where W = 175 and 0° ≤ 0 ≤ 90°. At what angle (in degrees) is the force maximized?
0 =
At what angle (in degrees) is the force minimized?
8 =
Transcribed Image Text:The force F (in pounds) on a person's back when he or she bends over at an angle 8 from an upright position is modeled by 0.6W sin(8 + 90°) sin(12⁰) F = where W represents the person's weight (in pounds). (a) Simplify the model. F = 10.471W sec (0) X (b) Use a graphing utility to graph the model, where W = 175 and 0° ≤ 0 ≤ 90°. At what angle (in degrees) is the force maximized? 0 = At what angle (in degrees) is the force minimized? 8 =
Cheyenne, Wyoming, has a latitude of 41° N. At this latitude, the number of hours of daylight D can be modeled by
D = 2.914 sin(0.017t- 1.321) + 12.134
where t represents the day, with t = 1 corresponding to January 1. Use a graphing utility to determine the days on which there are more than 10 hours of daylight. (Round your answers to the nearest integer.)
first day
t = 281
last day
t = 281
x
x
Transcribed Image Text:Cheyenne, Wyoming, has a latitude of 41° N. At this latitude, the number of hours of daylight D can be modeled by D = 2.914 sin(0.017t- 1.321) + 12.134 where t represents the day, with t = 1 corresponding to January 1. Use a graphing utility to determine the days on which there are more than 10 hours of daylight. (Round your answers to the nearest integer.) first day t = 281 last day t = 281 x x
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