91Ó°ÊÓ

In Exercises \(23-48\) , sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. $$r=1-2 \sin \theta$$

Using a Graphing Utility to Find Rectangular Coordinates In Exercises \(35-42,\) use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. $$(2,2 \pi / 9)$$

Sketching an Ellipse In Exercises \(33-48,\) find the center, vertices, foci, and eccentricity of the ellipse. Then sketch the ellipse. $$\frac{x^{2}}{5}+\frac{y^{2}}{9}=1$$

Graphing a Hyperbola, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. Use a graphing utility to graph the hyperbola and its asymptotes. $$ 4 x^{2}-9 y^{2}=36 $$

Graphing a Curve In Exercises \(35-46,\) use a graphing utility to graph the curve represented by the parametric equations. $$ \begin{array}{l}{x=t} \\ {y=t^{2}}\end{array} $$

In Exercises \(23-48\) , sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. $$r=2-4 \cos \theta$$

Graphing a Hyperbola, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. Use a graphing utility to graph the hyperbola and its asymptotes. $$ 25 x^{2}-4 y^{2}=100 $$

Sketching an Ellipse In Exercises \(33-48,\) find the center, vertices, foci, and eccentricity of the ellipse. Then sketch the ellipse. $$\frac{x^{2}}{64}+\frac{y^{2}}{28}=1$$

Using a Graphing Utility to Find Rectangular Coordinates In Exercises \(35-42,\) use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. $$(4,11 \pi / 9)$$

Graphing a Curve In Exercises \(35-46,\) use a graphing utility to graph the curve represented by the parametric equations. $$ \begin{array}{l}{x=t+4} \\ {y=t^{2}}\end{array} $$