a.
To find : the area of the cross section.
a.
Answer to Problem 70E
The area of the cross section that corresponds to the circumference is
Explanation of Solution
Given information : The height of the vase is
inches and the circumference of vase is shown below:
Calculation :
Using the circumference is given by
Solve for
b.
To express : the volume of vase over the interval
b.
Answer to Problem 70E
The volume of vase as an integral with respect to y over the interval
Explanation of Solution
Given information : The height of the vase is
inches and the circumference of vase is shown below:
Calculation :
The volume of vase as an integral of the function
c.
To approximate : the integral by using trapezoidal rule.
c.
Answer to Problem 70E
The value of integral by using trapezoidal rule is
Explanation of Solution
Given information : The height of the vase is
Calculation :
Using the formula for the trapezoidal rule.
The area between consecutive cross section.
Adding these up gives you approximately
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
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