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Concept explainers
(a)
To draw: a diagram that represents the box.
(a)
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Answer to Problem 5E
Explanation of Solution
Given:
Square piece of material, 24 centimeters on a side
Calculation:
Let the sides of the box be
Conclusion:
Thus, the requred diagram is drawn.
(b)
To verify:the volume
(b)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
In Part A, the length and width of the box are
Conclusion:
Therefore, the volume
(c)
To complete: the table,observe the behavior and find the limit.
(c)
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Answer to Problem 5E
The value of the limit is
Explanation of Solution
Given:
Calculation:
Part C
3 | 3.5 | 4 | 4.1 | 4.5 | 5 | |
972 | 1011.5 | 1024 | 1023.52 | 1012.5 | 980 |
from the table above. thefunction appears to take values close to
Conclusion:
The value of the limit is
(d)
To graph: the volume function and verify the volume is maximum when
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 5E
Explanation of Solution
Calculation:
Graphing this function, it takes its highest value when
Conclusion:
Therefore, the volume is maximum when
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
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- Let a = (4, -2, -7) and 6 = (2,5, 3). (ã − ò) × (ã + b) =arrow_forwardUse the graph of the function y = f (x) to find the value, if possible. f(x) 8 7 6 Q5 y 3 2 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 -7 -8+ Olim f(z) x-1+ O Limit does not exist.arrow_forwardIf h(x) = -2x-8 49x2-9 what is lim h(x)? x--00arrow_forward
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