11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through the point (4,2). Have fun; this one ain't easy!

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.4: Translations Of Conics
Problem 5ECP
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Answer question 11. Write out each step and explain what you are doing.
Ellips
11. Find the standard form of the equation of the ellipse with:
Vertices: (0, 15); Passes through the point (4,2). Have fun; this one ain't easy!
12. An elliptical billiard table is 8 feet long by 5 feet wide. Determine the location of the
foci. On such a table, if a ball is put at each focus and one ball is hit with enough force, it
would hit the ball at the other focus no matter where it banks on the table!
13. A hall 100 feet in length is to be designed as a whispering gallery. If the foci are
located 25 feet from the center, how high will the ceiling be at the center? How high will
the ceiling be at a point on the major axis 10 feet from the center?
fool ( 1₁-2
Transcribed Image Text:Ellips 11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through the point (4,2). Have fun; this one ain't easy! 12. An elliptical billiard table is 8 feet long by 5 feet wide. Determine the location of the foci. On such a table, if a ball is put at each focus and one ball is hit with enough force, it would hit the ball at the other focus no matter where it banks on the table! 13. A hall 100 feet in length is to be designed as a whispering gallery. If the foci are located 25 feet from the center, how high will the ceiling be at the center? How high will the ceiling be at a point on the major axis 10 feet from the center? fool ( 1₁-2
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