Decide which of the following equations may represent a circular conic section? Determine the center-point and radius of the section. 5x2 + 6x + 5y – 25 = 0 7x3 + 7y2 – 4x + 6y – 40 = 0 2x2 – 2y2 + 3x + 8y – 99 = 0 x2 + y? – 6x + 4y = 0 x² + y? – 6x + 4y + 40 = 0 -

Decide which of the following equations may represent a circular conic section? Determine the center-point and radius of the section. 5x2 + 6x + 5y – 25 = 0 7x3 + 7y2 – 4x + 6y – 40 = 0 2x2 – 2y2 + 3x + 8y – 99 = 0 x2 + y? – 6x + 4y = 0 x² + y? – 6x + 4y + 40 = 0 -

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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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

HW:
Decide which of the following equations may represent a circular
conic section? Determine the center-point and radius of the section.
5x2 + 6x + 5y – 25 = 0
7x3 + 7y2 – 4x + 6y – 40 = 0
2x2 – 2y2 + 3x + 8y – 99 = 0
x² + y2 – 6x + 4y = 0
x² + y? – 6x + 4y + 40 = 0

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Given the following general equations, which one represents a hyperbola? O 2a? + 4x – y + 4y – 4 = 0 O x² – 4x + 4y – 8y + 4 = 0 %3D - O x² + 9y² + 6x – 18y + 9 = 0 O 9x? + 4y² – 18x + 16y – 11 = 0 |