Question

Outside temperature over a day can be modeled as a sinusoidal
function.

Suppose you know the high temperature of 72 degrees occurs at
5 PM and the average temperature for the day is 65 degrees. Find
the temperature, to the nearest degree, at 6 AM.

Answer #1

Outside temperature over a day can be modeled as a sinusoidal
function. Suppose you know the high temperature of 100 degrees
occurs at 4 PM and the average temperature for the day is 80
degrees. Find the temperature, to the nearest degree, at 7 AM.

Outside temperature over a day can be modeled as a sinusoidal
function. Suppose you know the high temperature of 57 degrees
occurs at 3 PM and the average temperature for the day is 50
degrees. Find the temperature, to the nearest degree, at 7
AM.
degrees

Q.1 Outside temperature over a day can be modeled as a
sinusoidal function. Suppose you know the high temperature of 83
degrees occurs at 6 PM and the average temperature for the day is
65 degrees. Find the temperature, to the nearest degree, at 10 AM.
(Answer: degrees)
Q.2 Outside temperature over a day can be modeled as a
sinusoidal function. Suppose you know the temperature varies
between 60 and 90 degrees during the day and the average daily
temperature...

Outside temperature over a day can be modeled as a sinusoidal
function. Suppose you know the temperature varies between 58 and 72
degrees during the day and the average daily temperature first
occurs at 8 AM. How many hours after midnight, to two decimal
places, does the temperature first reach 60 degrees?

Outside temperature over a day can be modelled as a sinusoidal
function. Suppose you know the high temperature for the day is 80
degrees and the low temperature of 50 degrees occurs at 4 AM.
Assuming t is the number of hours since midnight, find an equation
for the temperature, D, in terms of t.
D(t)=

Outside temperature over a day can be modelled as a sinusoidal
function. Suppose you know the high temperature for the day is 102
degrees and the low temperature of 68 degrees occurs at 3 AM.
Assuming t is the number of hours since midnight, find an equation
for the temperature, D, in terms of t.
D(t)D(t) =

part a.) Outside temperature over the course of a day can be
modeled as a sinusoidal function. If the low temperature for the
day is 42°F and the high temperature is 86°F, calculate the
amplitude of the model function.
part b.) Outside temperature over the course of a day can be
modeled as a sinusoidal function. If the low temperature for the
day is 42°F and the high temperature is 86°F, what is the midline
of the model function?

1.Find a possible formula for the trigonometric function whose
values are in the following table.
x
0
2
4
6
8
10
12
y
-2
-5
-2
1
-2
-5
-2
y=
2. A population of rabbits oscillates 21 above and below an
average of 103 during the year, hitting the lowest value in January
(t = 0). Find an equation for the population, P, in terms
of the months since January, t.
P(t) =
What if the lowest value...

In a certain city the temperature (in °F) t hours after 9 AM was
modeled by the function T(t) = 40 + 11 sin πt 12 . Find the average
temperature Tave during the period from 9 AM to 9 PM. (Round your
answer to the nearest whole number.).

Suppose you had daily temperature data indicating the "high"
point of each day for 2015. If you want to show how the high
differs over time, what are some of the plot types that will allow
you do this? What are some benefits to binning the data into one of
52 weeks and plotting the average high for each week? Would it make
sense to do something similar for the four quarters in the year?
Why or why not?

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