Concept explainers
a.
Find the total time
a.
Answer to Problem 10PS
Explanation of Solution
Calculation:
Consider the following figure
The speed at which the boat is rowed is
The distance, travelled by rowing is
Since, the speed of rowing is
Now, the distance travelled by walking is
Since, the speed of waalking is
The total time taken to reach the point
Hence, the total time
b.
Determine the domain of the function.
b.
Answer to Problem 10PS
The domain of the function is all real numbers.
Explanation of Solution
Calculation:
Consider the following figure
The function
Hence, the domain of the function is all real numbers.
c.
Use a graphing utility to graph the function.
c.
Answer to Problem 10PS
Explanation of Solution
Calculation:
To graph the function enter the function in Ti-83 at
Choose the appropriate WINDOW as follows
Press GRAPH button to get the graph as follows
Hence, the result is shown in graph.
d.
Find the value of
d.
Answer to Problem 10PS
Explanation of Solution
Calculation:
Consider the following figure
Press the TRACE button to get the point where
Hence, the minimum value of the function is
e.
Write a brief paragraph interpreting these values.
e.
Answer to Problem 10PS
Explanation of Solution
Calculation:
Hence, the minimum total time taken to reach the point
Chapter 1 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