a.
To graph: A
a.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The following table with Temperature
Graph:
Plot the points in the above table on a graph using a graphing utility.
Interpretation:
The graph is in the form of a half wave.
b.
To find: A sine model for the temperature.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 104E
A sine model for the temperature is as follows:
with
Explanation of Solution
Given information:
The following table with Temperature
Calculation:
To find a sine model for the temperature, plot all the points on the graph Then, make a list of all the points using the
Then use the sine regression feature of the graphing utility. To find a sine model, enter the following equation:
Press Enter.
The following equation will be obtained:
c.
To graph: The scatter plot and the sine model in the same widow
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The following table with Temperature
Graph:
On plotting the data(as explained in subpart a) and on finding the sine model using the
Interpretation:
The graph of the sine model is a best fit line for the scatter plot of the temperature.
d.
To find: The average temperature using the term in part (b).
d.
![Check Mark](/static/check-mark.png)
Answer to Problem 104E
The average temperature using the term in part (b) is as follows:
Explanation of Solution
Given information:
The following table with Temperature
The model obtained in part(b) is as follows:
Where
The average daily temperature using this model is obtained by creating a table of values using this model. Create a table that shows the values of
Here
e.
To describe: The months in which the daily high temperature is above
e.
![Check Mark](/static/check-mark.png)
Answer to Problem 104E
The months in which the daily high temperature is above
June, July, August, September and October.
Explanation of Solution
Given information:
The following table with Temperature
As obtained in part(c), the graph of the daily high temperatures is as follows:
As observed from the graph, the daily high temperature is above
These months correspond to June, July, August, September and October.
Chapter 5 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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