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2. Find an equation of a hyperbola whose foci are the vertices of the ellipse 7x^2 + 11y^2 = 77 and whose vertices are the foci of this ellipse.

2. Find an equation of a hyperbola whose foci are the vertices of the ellipse 7x^2 + 11y^2 = 77 and whose vertices are the foci of this ellipse.

Advanced Engineering Mathematics
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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2. Find an equation of a hyperbola whose foci are the vertices of the ellipse 7x^2 + 11y^2 = 77 and whose vertices are the foci of this ellipse. 3. The ceiling in a hallway 10 meters wide is in the shape of a semi-ellipse and is 9 meters high in the center and 6 meters high at the side walls. Find the height of the ceiling 2 meters from either wall. a. 32/5m b. 35/2m c. 42/5m d. 35/3m
Transcribed Image Text:2. Find an equation of a hyperbola whose foci are the vertices of the ellipse 7x^2 + 11y^2 = 77 and whose vertices are the foci of this ellipse. 3. The ceiling in a hallway 10 meters wide is in the shape of a semi-ellipse and is 9 meters high in the center and 6 meters high at the side walls. Find the height of the ceiling 2 meters from either wall. a. 32/5m b. 35/2m c. 42/5m d. 35/3m
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