3. Using the traces obtained in IV.1., provide a hand-drawn sketch of 3. Label all important points (e.g., vertices) found on each trace. (For graphing purposes, 3√/2≈ 4.2.) 4. View 3 as a surface of revolution. Find an equation of a generating curve on the xy-plane which, if revolved about the x-axis, will result to 3.
3. Using the traces obtained in IV.1., provide a hand-drawn sketch of 3. Label all important points (e.g., vertices) found on each trace. (For graphing purposes, 3√/2≈ 4.2.) 4. View 3 as a surface of revolution. Find an equation of a generating curve on the xy-plane which, if revolved about the x-axis, will result to 3.
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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Question
Answer 3&4 only
Transcribed Image Text:IV. Let 3 be the surface with equation given by 4r² - 9y² = 9 (2²+4).
1. Find an equation of the trace of S3 on each of the coordinate planes and on the planes x = ±3√/2.
Determine if each trace is empty, a point, a (pair of) line(s), a parabola, an ellipse, or a hyperbola.
2. What type of quadric surface is S3?
3. Using the traces obtained in IV.1., provide a hand-drawn sketch of S3. Label all important points
(e.g., vertices) found on each trace. (For graphing purposes, 3√/2≈ 4.2.)
4. View 3 as a surface of revolution. Find an equation of a generating curve on the xy-plane which,
if revolved about the x-axis, will result to 3.
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