(a)
To Find: The maximum value.
(a)
Answer to Problem 73E
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)
Answer to Problem 73E
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)
Answer to Problem 73E
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)
Answer to Problem 73E
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 with Limits: A Graphing Approach
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