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1. Let R be the region in the first quadrant bounded by y = 1, x = 2 and y = 3. Use the shell method (method of cylindrical shells) to find the volume of the solid formed when R is revolved around the x-axis. Sketch R and a typical (representative) cylindrical shell.

1. Let R be the region in the first quadrant bounded by y = 1, x = 2 and y = 3. Use the shell method (method of cylindrical shells) to find the volume of the solid formed when R is revolved around the x-axis. Sketch R and a typical (representative) cylindrical shell.

Advanced Engineering Mathematics
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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Help with the following questions: question 1 and 2
1. Let R be the region in the first quadrant bounded by y = 1, x = 2 and y = 3. Use the shell method (method of cylindrical shells) to find the volume of the solid formed when R is revolved around the x-axis. Sketch R and a typical (representative) cylindrical shell.
Transcribed Image Text:1. Let R be the region in the first quadrant bounded by y = 1, x = 2 and y = 3. Use the shell method (method of cylindrical shells) to find the volume of the solid formed when R is revolved around the x-axis. Sketch R and a typical (representative) cylindrical shell.
2. Let R be the region in the first quadrant that lies below y = 1-x². Use the shell method (method of cylindrical shells) to find the volume of the solid formed when R is revolved around the line x = 3. Sketch R and a typical (representative) cylindrical shell.
Transcribed Image Text:2. Let R be the region in the first quadrant that lies below y = 1-x². Use the shell method (method of cylindrical shells) to find the volume of the solid formed when R is revolved around the line x = 3. Sketch R and a typical (representative) cylindrical shell.
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