91Ó°ÊÓ

Find a polar equation that has the same graph as the equation in \(x\) and \(y\). $$x=-3$$

Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. $$25 x^{2}+4 y^{2}-250 x-16 y+541=0$$

Find an equation in \(x\) and \(y\) whose graph contains the points on the curve \(C\). Sketch the graph of \(C\), and indicate the orientation. $$x=\sec t, \quad y=\tan t, \quad-\pi / 2

Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph, showing the asymptotes and the foci. $$y^{2}-4 x^{2}-12 y-16 x+16=0$$

Find a polar equation that has the same graph as the equation in \(x\) and \(y\). $$y=2$$

Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. $$4 x^{2}+y^{2}=2 y$$

Find an equation in \(x\) and \(y\) whose graph contains the points on the curve \(C\). Sketch the graph of \(C\), and indicate the orientation. $$x=\csc t, \quad y=\cot t, \quad-\pi

Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph, showing the asymptotes and the foci. $$4 y^{2}-x^{2}+40 y-4 x+60=0$$

Find an equation in \(x\) and \(y\) whose graph contains the points on the curve \(C\). Sketch the graph of \(C\), and indicate the orientation. $$x=\cos 2 t, \quad y=\sin t, \quad-\pi \leq t \leq \pi$$

Find a polar equation that has the same graph as the equation in \(x\) and \(y\). $$y=-4$$