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4. a) Find the volume of the solid formed by rotating the region y = !, 1

4. a) Find the volume of the solid formed by rotating the region y = !, 1

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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This is a 2 part question. Need help with solving for both a and b.

**Problem 4:** a) Find the volume of the solid formed by rotating the region \( y = \frac{1}{x}, 1 \leq x \leq \infty \) about the \( x \)-axis. b) Prove that the surface area of the surface formed by rotating the region in part a) about the \( x \)-axis is infinite. Hint: Use the Integral Comparison Test.
Transcribed Image Text:**Problem 4:** a) Find the volume of the solid formed by rotating the region \( y = \frac{1}{x}, 1 \leq x \leq \infty \) about the \( x \)-axis. b) Prove that the surface area of the surface formed by rotating the region in part a) about the \( x \)-axis is infinite. Hint: Use the Integral Comparison Test.
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