3. For the following quadrics identify the type of the conic section find the coordinates of a focus (c, 0) on the x-axis, • calculate the eccentricity e, find the equation of a directrix in the form x = d and sketch the conic. x² (a) + 1 (c) y² = 1/2r. 1 (b) 9x² - 16y² = 25 9 8 Note: You may want to explore the relationship between the coefficients in the given equation with the constants c, d, e in the form: (1 - e²)x² - 2(c- de²)x+ (c² - d²e²) + y² = 0.
3. For the following quadrics identify the type of the conic section find the coordinates of a focus (c, 0) on the x-axis, • calculate the eccentricity e, find the equation of a directrix in the form x = d and sketch the conic. x² (a) + 1 (c) y² = 1/2r. 1 (b) 9x² - 16y² = 25 9 8 Note: You may want to explore the relationship between the coefficients in the given equation with the constants c, d, e in the form: (1 - e²)x² - 2(c- de²)x+ (c² - d²e²) + y² = 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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Please do the following questions handwritten
Transcribed Image Text:3. For the following quadrics
identify the type of the conic section
find the coordinates of a focus (c, 0) on the x-axis,
• calculate the eccentricity e,
find the equation of a directrix in the form x = d and
sketch the conic.
(c) y² = 1/2x₁
-X.
1
(b) 9x² - 16y² = 25
(a) +
9 8
Note: You may want to explore the relationship between the coefficients
equation with the constants c, d, e in the form:
(1-e²)x²2(c-de²)x+ (c²-d²e²) + y² = 0.
the given
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