Concept explainers
(a)
h as the function of t.
(a)
Answer to Problem 96E
The vertical line cross the graph at one points, hence, the given relation define
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
The graph represents the height
If a given graph is a function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function.
To understand the crossing at two points means for a given input for getting two outputs or two
Now, draw random parallel line to check whether it is function or not.
Clearly here the vertical line cross the graph at one points, hence, the given relation define
Conclusion:
The vertical line cross the graph at one points, hence, the given relation define
(b)
The height of the projectile after 0.5 second and after 1.25 seconds.
(b)
Answer to Problem 96E
The height of projectile after 0.5 second and after 1.25 second is between 20 and 29.
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
To find the height of projectile after 0.5 second and after 1.25 seconds, draw line parallel to haxis at
From the above graph it is very clear that the height of projectile after 0.5 second and after 1.25 second is between 20 and 29. At t = 1.25 the height is at maximum point; after that it starts decreasing.
Conclusion:
The height of projectile after 0.5 second and after 1.25 second is between 20 and 29.
(c)
The domain of h.
(c)
Answer to Problem 96E
The domain is
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
The domain is the set of all
Therefore the domain is
Conclusion:
The domain is
(d)
t as function of h.
(d)
Answer to Problem 96E
The given relation doesn’t define
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
Draw random line parallel t- axis
Clearly here the horizontal line cross the graph at two points, hence, the given relation doesn’t define
Conclusion:
The given relation doesn’t define
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