91Ó°ÊÓ

Use the discriminant to identify the conic section whose equation is given, and find a viewing window that shows a complete graph. $$41 x^{2}-24 x y+34 y^{2}-25=0$$

Convert the polar coordinates to rectangular coordinates. $$(3, \pi / 3)$$

In Exercises \(11-16,\) find the focus and directrix of the parabola. $$y=25 x^{2}$$

Find a viewing window that shows a complete graph of the curve. $$\begin{array}{ll} x=6 \cos t+5 \cos 3 t, & y=6 \sin t-5 \sin 3 t \\ 0 \leq t \leq 2 \pi \end{array}$$

Find the eccentricity of the conic whose equation is given. $$\frac{x^{2}}{100}+\frac{y^{2}}{99}=1$$

Identify the conic section whose equation is given and find its graph. If it is a circle, list its center and radius. If it is an ellipse, list its center, vertices, and foci. $$\frac{x^{2}}{25}+\frac{y^{2}}{4}=1$$

Use the discriminant to identify the conic section whose equation is given, and find a viewing window that shows a complete graph. $$x^{2}+2 \sqrt{3} x y+3 y^{2}+8 \sqrt{3} x-8 y+32=0$$

Identify the conic section whose equation is given and find its graph. If it is a circle, list its center and radius. If it is an ellipse, list its center, vertices, and foci. $$\frac{x^{2}}{6}+\frac{y^{2}}{16}=1$$

Find the eccentricity of the conic whose equation is given. $$\frac{(x-4)^{2}}{18}+\frac{(y+5)^{2}}{25}=1$$

In Exercises \(11-16,\) find the focus and directrix of the parabola. $$x=-6 y^{2}$$