Assume t = 0.005 a.) Write a sinusoidal function V(t) to model the b.) Use your function to determine the voltage a- It is in seconds. One city averages 14 hours of daylight in June, and 12 both in March and in September. Assume is one year and let t = 1 represent January. Write a sinusoidal function H(t) to model he Use your function to predict the hours of d month of November. a.) b.) 6. The top of a building designed by Gractals Inco 10 meters and then right 10 meters of its stable ec One full swing from equilibrium to the left, to th

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
#6
5.
a.)
Assume voltage is at its maximum when time
range is [-170, +170] volts.
a.)
The electricity in a U.S. house is called alternating current (C)
sume that the frequency is 60 cycles/second and that the voltage
use the voltage and current vary sinusoidally with time.
t = 0.005556 second.
Write a sinusoidal function V (t) to model that voltage, where
t = 0.008 sec.
t is in seconds.
Use your function to determine the voltage at
b.)
One city averages 14 hours of daylight in June, 10 in December,
Assume that the period
and 12 both in March and in September.
is one year and let t = 1 represent January.
Write a sinusoidal function H(t) to model hours of daylight.
Use your function to predict the hours of daylight for the
month of November.
a.)
b.)
6.
The top of a building designed by Gractals Incorporated sways left
10 meters and then right 10 meters of its stable equilibrium position.
One full swing from equilibrium to the left, to the right and then
back to equilibrium takes 4 seconds. At t = 1 sec. the building is
at equilibrium and about to swing left again.
a.) Write a sinusoidal function D (t) to model that building top's
displacement.
b.)
What is the displacement of the top of the building
at 3.5 seconds?
The number of visible sun spots varies rhythmically from 10
to 110 per year over a period of eleven years.
occurred in the year 2014.
The 110 max last
Write
Transcribed Image Text:5. a.) Assume voltage is at its maximum when time range is [-170, +170] volts. a.) The electricity in a U.S. house is called alternating current (C) sume that the frequency is 60 cycles/second and that the voltage use the voltage and current vary sinusoidally with time. t = 0.005556 second. Write a sinusoidal function V (t) to model that voltage, where t = 0.008 sec. t is in seconds. Use your function to determine the voltage at b.) One city averages 14 hours of daylight in June, 10 in December, Assume that the period and 12 both in March and in September. is one year and let t = 1 represent January. Write a sinusoidal function H(t) to model hours of daylight. Use your function to predict the hours of daylight for the month of November. a.) b.) 6. The top of a building designed by Gractals Incorporated sways left 10 meters and then right 10 meters of its stable equilibrium position. One full swing from equilibrium to the left, to the right and then back to equilibrium takes 4 seconds. At t = 1 sec. the building is at equilibrium and about to swing left again. a.) Write a sinusoidal function D (t) to model that building top's displacement. b.) What is the displacement of the top of the building at 3.5 seconds? The number of visible sun spots varies rhythmically from 10 to 110 per year over a period of eleven years. occurred in the year 2014. The 110 max last Write
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