J. Let 3 be the surface with equation given by 4x² - 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.) ID XX
J. Let 3 be the surface with equation given by 4x² - 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.) ID XX
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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