Question

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?

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 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.

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) =

The following table shows the hot dogs bought from a street
vendor over the course of eight days ("Demand"). Also shown is the
temperature for each day in degrees Celsius. Complete parts a and b
below.
Temperature °C 21 12 23 19 8 11 18 22
Demand 48 30 36 42 17 25 41 35
a. Calculate the slope and y-intercept for the linear
regression equation for these data. y=+x (Round to two decimal
places as needed.)
b. Predict the...

The following table shows the hot dogs bought from a street
vendor over the course of eight days ("Demand"). Also shown is the
temperature for each day in degrees Celsius.
Temperature (°C)
22
9
22
18
6
10
19
21
Demand
49
30
36
40
18
22
42
32
A linear regression on the data gives the equation below.
Complete parts a through d below.
Predicted Demand
a. Calculate the SST.
b. Partition the total sum of squares into the...

2. The growth of cable television between 1978 and 1994 can be
modeled by the following logistic function: S(t) = 65/
1+23e^(-0.214t) where S(t) is the number of cable TV subscribers
(in millions) t years after 1970. a. Determine the number of cable
TV subscribers in 1984 according to this model. b. Determine S′(t)
using the function above and the derivative rules you know.
c. Use this function to determine the rate at which the number
of cable TV subscribers...

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