a.
To find: The value of
a.
Answer to Problem 77E
The value of
Explanation of Solution
Given information:
The arc
Calculation:
When the arc
The solution of the equation
Then volume of the solid can be given by
Since
Evaluate the integral.
Now, find the value of
Since
Observe that
Substitute
Conclusion:
The value of
b.
To find: The value of
b.
Answer to Problem 77E
Explanation of Solution
Given information:
The arc
Calculation:
From part (a), the minimum value occurs when
At
At
So, the volume is
So, the maximum volume occurs at
Conclusion:
The value of
c.
To graph: The solid’s volume as a function of
c.
Explanation of Solution
Given information:
The arc
Calculation:
From part (a), the volume of the solid is given by the function
Graph this function for
Now, graph the function for a larger domain of
It can be observed that the volume of the solid keeps increasing as
The answer makes sense as
Chapter 7 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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