a.
Write a formula
a.
Answer to Problem 19E
The volume of box
Explanation of Solution
Given:
A 24 by 36 in. sheet cardboard from which congruent the squares of side length
Calculation:
According to given figure,
The length of the box is
The width of the box is
The depth of the box is
Volume
Conclusion:
The volume of box
b.
Find the domain of
b.
Answer to Problem 19E
Domain for volume
Explanation of Solution
Given:
From part (a):
Volume of box
Calculation:
The volume of box cannot have negative values. So,
Hence, Domain for volume
Graph of
Conclusion:
Domain for volume
c.
Use analytic method to find the maximum volume and the value of
c.
Answer to Problem 19E
The maximum volume of box
Explanation of Solution
Given:
From part (a):
Calculation:
For extremum points put
Apply
The maximum occurs at
Volume:-
Conclusion:
The maximum volume of box
d.
Find the maximum volume graphically.
d.
Answer to Problem 19E
The maximum volume of box
Explanation of Solution
Given:
Volume of box
Calculation:
Draw graph,
Conclusion:
The maximum volume of box
e.
Find the value of
e.
Answer to Problem 19E
The value of
Explanation of Solution
Given:
Volume of box
Calculation:
Given that
Put
On solving the equation,
But,
Conclusion:
The value of
f.
Write a paragraph describing the issues that arise in part (b).
f.
Explanation of Solution
Given:
Volume of box
Concept used:
Real world problem: In real world problem, the domain and range for function has positive values
Calculation:
The domain of
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
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