(a)
To Find: The maximum value.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 75E
Maximum volume is
Explanation of Solution
Given: An open box of maximum value is to be made from a square piece of material,
The table shows the volume of the box for various heights
The maximum value from the table is
(b)
To Plot: The plot the points from the table. Does the relation defined by the ordered pairs represent
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 75E
Yes the relation is a function.
Explanation of Solution
Given: An open box of maximum value is to be made from a square piece of material,
The table shows the volume of the box for various heights
The graph by plotting the points is shown below
The relation is a function because for every height there is only one volume.
(c)
To Find: If
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 75E
Explanation of Solution
Given: An open box of maximum value is to be made from a square piece of material,
Thus the function is
And
Domain:
(c)
To Find: use the graphing utility to plot the points from the table in part (a) with the function from part (c). How closely does the function represent the data?
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 75E
The function is a good fit.
Explanation of Solution
Given: An open box of maximum value is to be made from a square piece of material,
The graph from the table is
Function:
The function is good fit.
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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
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