A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has. The center is located on the origin. The minor axis of the ellipse is ten centimeters in length while the major axis is twenty centimeters in length. To maximize the usage of his elliptical cardboard, what should be the dimensions of his cut-outs?

A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has. The center is located on the origin. The minor axis of the ellipse is ten centimeters in length while the major axis is twenty centimeters in length. To maximize the usage of his elliptical cardboard, what should be the dimensions of his cut-outs?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 43E: By definition, an ellipse is the locus of points whose sum of distances from two fixed points F1 and...

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By definition, an ellipse is the locus of points whose sum of distances from two fixed points F1 and F2 called foci is constant. In the grid provided, find points whose sum of distances from points F13, 0 and F2-3, 0 is 10. That is, locate some points for which PF1+PF2=10; point P5, 0 is one such point. Then sketch the ellipse.
Explain in your own words, how to distinguish the equation of an ellipse with the equation of a hyperbola.
Explain in your own words how to create and use the rectangle that helps graph a hyperbola.
What is an axis of symmetry of a parabola?