Ellipses9. Define the following terms: ellipse, foci, major axis, minor axis, vertices, eccentricity.10. How can we determine whether an ellipse has a horizontal or a vertical major axis?11. How can we determine the lengths of the major axis and the minor axis of an ellipse?

Topic = Ellipse As per guidelines , At a time only three sub-parts of a question can be answered.

Answered: Ellipses 9. Define the following terms:…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 36E

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Similar questions

In your own words, define an ellipse and write the equation of an ellipse centered at the origin in standard form. Draw a sketch of the ellipse labeling the center, vertices and major and minor axes.
Find the equation of the ellipse shown.
Find an equation for the ellipse with foci (3,0) and vertices (4,0) .
Find an equation for the ellipse with center (2, 0), foci (2,3) and major axis of length 8.
Find the standard form of the equation of the ellipse with vertices(0,2) and (8,2) and minor axis of length 4. Then find the eccentricity of the ellipse.
What special case of the ellipse do we have when the major and minor axis are of the same length?
Where must the foci of an ellipse lie?
Plywood Ellipse A carpenter wishes to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood. He will trace out the ellipse using the “thumbtack and string” method illustrated in Figures 2 and 3. What length of string should he use, and how far apart should the tacks be located, if the ellipse is to be the largest possible that can be cut out of the plywood sheet?
Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gallery because a person standing at one focus of the room can hear even a whisper spoken by a person standing at the other focus. This occurs because any sound emitted from one focus of an ellipse reflects off the side of the ellipse to the other focus. Statuary Hall is 46 feet wide and 97 feet long. (a) Find an equation that models the shape of the room. (b) How far apart are the two foci? (c) What is the area of the floor of the room? (The area of an ellipse is A=ab.)
Drawing Ellipses Use two thumbtacks, a string, and a pencil to draw an ellipse. Vary the length of the string and the distance between the thumbtacks. Explain how to obtain ellipses that are almost circular. Explain how to obtain ellipses that are long and narrow.

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Ellipses 9. Define the following terms: ellipse, foci, major axis, minor axis, vertices, eccentricity.