Concept explainers
a.
To use a graphing utility to plot the data points and
a.
Explanation of Solution
Given Information:
Given, initial temperature of the cup of water is and room temperature is
The ordered pairs are
Calculation:
Now, to plot the data points for and
First, subtract the room temperature from each ordered pair.
Therefore, the ordered pairs for are
So, the data points are obtained as below.
The blue dots represent, whereas the red dots represent
b.
To solve for and graph the model.
b.
Explanation of Solution
Exponential model for the data of is
So,
The graph is shown below:
It can be seen that the graph matches the original given data accurately.
c.
To solve for and graph the model.
c.
Answer to Problem 89E
The width of the arch will be
Explanation of Solution
For the points corresponding to then get a straight line.
The equation of the line is
Here,
So,
Hence,
d.
To use a graphing utility to plot the data points and
d.
Explanation of Solution
For the points corresponding to then get a straight line.
The equation of the line is
Here,
So,
Hence, the graph is as shown below:
It can be seen that the graph matches the original given data accurately.
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning