Given is the polar equation \(\ds r=\frac{2}{1-2\cos \theta }\text{.}\) Which type of conic section does this polar equation represent: Parabola, ellipse, or hyperbola? Show that the polar equation ...

Sketch the graph of the ellipse \(\ds \frac{x^2}{9}+\frac{y^2}{16}=1\) and determine its foci. Let \(C\) be the conic which consists of all points \(P=(x,y)\) such ...

Harold Wheeler are a prime example. A common model still used in many high schools is the wooden or plaster cone used to show how the conic sections (circle, ellipse, parabola, hyperbola) arise from ...

The outer shape is an ellipse with two extra dissimilar conical sections ... The hyperbola, if extended,crosses the central major axis at the opposite (missing) end of the ellipse. Conics were ...