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 ...

2,0)\text{,}\) \((0,-1)\text{,}\) and \((0,3)\text{.}\) For what values of the constant \(k\) is this conic section an ellipse? Now assume that \(k\) has the value in the middle of the interval found ...