College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.2: The Ellipse
Problem 70E
Related questions
Question
In each of the following, find the ellipse’s eccentricity, foci and directrices.
i. 16x2+ 25y2=400
ii.169x2+25y2= 4225
(b) Find the ellipse’s standard form equation for each of the following cases.
i. Foci: (0, ±3), Eccentricity: 0.5
ii. Foci: (±8, 0), Eccentricity: 0.2
iii. Vertices: (0, ±70), Eccentricity: 0.1
iv. Vertices: (±10, 0), Eccentricity: 0.24
(c) Find the eccentricity, foci and directrices and sketch the hyperbola if
i. x2− y2= 1.
ii. 9x2− 16y2= 144.
iii. 8x2− 2y2= 16.
iv. y2− 3x2= 3.
(d) Find the hyperbola’s standard form equation if
i. Foci: (0, ±5), Eccentricity: 1.25
ii. Foci: (±3, 0), Eccentricity: 3
iii. Vertices: (0, ±1), Eccentricity: 3
iv. Vertices: (±2, 0), Eccentricity: 2
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