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Lesson28_students_ - MA 15400 Lesson 28 Ellipses Section...

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MA 15400 Lesson 28 Section 11.2 Ellipses 1 Refer to yesterday’s lesson for the basics of ellipses. Find the equation for the ellipse that has its center at the origin and satisfies the given conditions. A Vertices V(0, ± 6) B Vertices V( ± 7, 0) Foci, F(0, ± 2) Foci, F( ± 6, 0) C Foci F( ± 4, 0) D Horizontal minor axis of length 10 Minor Axis of length 6 Major axis of length 16 E Vertices V( ± 5, 0) Passing through point P(2, 3)
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MA 15400 Lesson 28 Section 11.2 Ellipses 2 F The arch of a bridge is semi elliptical, with major axis horizontal. The base of the arch is 40 feet across and the highest part of the arch is 10 feet above the horizontal roadway. a) Find an equation for the arch. b) Find the height of the arch 8 feet from the center of the base. Ellipses can be very ‘round’ (almost circular) or almost ‘flat’ . Eccentricity is a number that describes the ‘roundness’ of an ellipse. 0 1
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Lesson28_students_ - MA 15400 Lesson 28 Ellipses Section...

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