4. Non-calculator. Let R be the region bounded by the graph of y = x² and the line y = 9. Part A: Find the volume of the solid generated when R is revolved about the x-axis. Part B: There exists a number k, k < 0, such that when R is revolved around the line y = k, the resulting solid has the same volume as the solid in part A. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
4. Non-calculator. Let R be the region bounded by the graph of y = x² and the line y = 9. Part A: Find the volume of the solid generated when R is revolved about the x-axis. Part B: There exists a number k, k < 0, such that when R is revolved around the line y = k, the resulting solid has the same volume as the solid in part A. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4.
Non-calculator. Let R be the region bounded by the graph of y = x² and the line y = 9.
Part A: Find the volume of the solid generated when R is revolved about the x-axis.
Part B: There exists a number k, k < 0, such that when R is revolved around the line y = k, the resulting solid has the
same volume as the solid in part A. Write, but do not solve, an equation involving an integral expression that can be
used to find the value of k.
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