Concept explainers
a.
To find: the extreme value of function.
a.
Answer to Problem 43E
the max value is
Explanation of Solution
Given information:
The function is
Calculation: to find the extreme value, differentiate the function because function has no end points,
Now, equal the differentiation to zero,
Substitute the value in the function,
Thus, the max value is
b.
To find: the volume by the value occur in part (a).
b.
Answer to Problem 43E
The largest volume of the box is
Explanation of Solution
Given information:
The function is
Calculation: from the part (a), the value is
Thus, the max value is
c.
To graph: the function.
c.
Explanation of Solution
Given information:
The function is
Graph: to graph the function, use the point plotting method,
x | |
Now by plotting the points and join the points smoothly,
The graph can be obtained as:
Interpretation: from the above graph it can be observed that the maximum volume of the box is
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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