|For the equation 9x² – 8y² +36x+64y=164 . Determine whether the equation represents an ellipse, a parabola, or a hyperbola. . If the equation represents an ellipse, find the center, foci, and vertices. . If the equation represents a parabola, find the vertex, focus, directrix, and focal diameter. 1. If the equation represents a hyperbola, find the center, foci, vertices, and asymptotes. . If the equation represents a degenerate conic, say so and determine the resulting graph.
|For the equation 9x² – 8y² +36x+64y=164 . Determine whether the equation represents an ellipse, a parabola, or a hyperbola. . If the equation represents an ellipse, find the center, foci, and vertices. . If the equation represents a parabola, find the vertex, focus, directrix, and focal diameter. 1. If the equation represents a hyperbola, find the center, foci, vertices, and asymptotes. . If the equation represents a degenerate conic, say so and determine the resulting graph.
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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For the equation 9x² – 8y² +36x+64y =164
a. Determine whether the equation represents an ellipse, a parabola, or a hyperbola.
b. If the equation represents an ellipse, find the center, foci, and vertices.
c. If the equation represents a parabola, find the vertex, focus, directrix, and focal diameter.
d. If the equation represents a hyperbola, find the center, foci, vertices, and asymptotes.
If the equation represents a degenerate conic, say so and determine the resulting graph.
е.
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