SOLUTION: The desert temperature oscillates sinusoidally between 40◦F at 5am to 80◦F at 5pm, then down again to 40◦F at 5am the next day. Let the temperature, H, in fahrenh
Algebra.Com
Question 1082416: The desert temperature oscillates sinusoidally between 40◦F at 5am to 80◦F at 5pm, then down again to 40◦F at 5am the next day. Let the temperature, H, in fahrenheit, be a function of the time t, in hours since 5am.
Sketch a graph of H against t over a 72 hour period, from t = 0.
Find a formula for H in terms of t.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Amplitude is 1/2 the range,
Mean value is the average of the two extremes,
Time to complete one cycle (period) is,
So the period is
Doesn't start at mean value, it starts at the lower extreme so there is a phase angle. Dial it back one quarter period.
.
.
.
So putting it all together,
.
.
.
.
RELATED QUESTIONS
Find all values of x between 0◦ and 360◦ where 200 sin x =... (answered by fractalier)
I kind of understand how to do these f◦g and g◦f problems, but I dont know... (answered by stanbon)
4. Use the following to answer questions a-d:
f(x) = x2 + x and g(x) = x – 5
a.... (answered by user_dude2008)
Use the function to answer the question.
f(x) = 10 – x
What is the value of (f... (answered by funmath)
What is the difference between (fg)(x) and (f ◦... (answered by Fombitz)
as dry air moves upward it expands, and in so doing it cools at a rate of about 5.5°F for (answered by stanbon)
Find (f ◦ g)(-1), (g ◦ f)(-1), (f ◦ g)(x), and (g ◦ f)(x) where... (answered by nyc_function)
Given that f(x)=|x| and g(x)=2x-4, calculate
f◦g(x)=
g◦f(x)=
f◦f(x)=
(answered by Edwin McCravy)
Consider f(x) = sqrt(4x^2 + 1 ) and g(x) = x + 3 /x^2 . Find the composite functions f... (answered by solver91311)