Concept explainers
(a)
The total time
(a)
Answer to Problem 10PS
The total time of the trip as the function of
Explanation of Solution
Given:
Consider the layout of the given diagram is shown in Figure 1
Figure 1
Calculation:
The speed at which the boat travelled per hour is
Since the boat is moving at the speed of
The distance travelled by walking is,
The speed of walking is
Then, the total time taken to reach the point Q is,
Then,
(b)
The domain of the function.
(b)
Answer to Problem 10PS
The domain of the function is all the real numbe.
Explanation of Solution
Calculation:
The total time taken of the trip is,
The value of
(c)
The graph for the function.
(c)
Answer to Problem 10PS
The graph is shown in Figure 4
Explanation of Solution
Calculation:
To graph the function enter the function in Ti-83=as follows,
Figure 2
The second step is to choose the appropriate window,
Figure 3
The third step is to press the graph button as,
Figure 4
(d)
The values of the variable
(d)
Answer to Problem 10PS
The value of the variable is
Explanation of Solution
Calculation:
On the calculator after obtaining the graph press the trace button to button to obtain the point where the
The required graph is,
Figure 5
The maximum value of the function is
(e)
The brief paragraph to interrupt the values.
(e)
Answer to Problem 10PS
The minimum total time taken for the distance of 1 mile is
Explanation of Solution
The minimum time
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