To find: The volume of the solid generated by resolving the region bounded by the curves.
Answer to Problem 39E
The volume of the solid generated is
Explanation of Solution
Given information:
Calculation:
Let's graph this area in Desmos and draw some conclusions based on it.
From the graph, the region is bounded by the curve
Taking into account
Now to find the limits of integration
Finding the formulas for
From the graph the limits will be the
Since the intersection of the curve
To find the formula for
Rewriting the equation,
Since each cross section on height
The area of cross section is given by,
Finding the volume of the solid,
Therefore, the volume of the solid generated is
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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