Concept explainers
(a)
To calculate: The function that represent the volume of package
(a)
Answer to Problem 107E
The function is
Explanation of Solution
Given information:
Perimeter of package = 120 inches
Length = y
Width = height = x
Formula used:
Calculation:
So the relation between the length and width is:
The function in terms of volume V :
(b)
To graph: The function
(b)
Explanation of Solution
Given information:
Graph:
The maximum volume is 32000.
Interpretation: The volume of package is first increasing than decreasing.
(c)
To calculate: value of x at V = 13500.
(c)
Answer to Problem 107E
Value x at which V=13500 is 17.
Explanation of Solution
Given information:
V = 13500
Formula used:
Calculation:
As volume can’t be negative and maximum volume value less than 55 so value x at which V=13500 is 17.
Therefore the invalid values of x are -13 and 55
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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