91Ó°ÊÓ

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. $$4 x^{2}-9 y^{2}=36$$

Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. $$r=1-2 \sin \theta$$

Finding the Inclination of a Line In Exercises \(35-44,\) find the inclination \(\theta\) (in radians and degrees) of the line. $$2 x+2 y-5=0$$

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. $$\frac{x^{2}}{5}+\frac{y^{2}}{9}=1$$

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. $$(4,11 \pi / 9)$$

Find the inclination \(\theta\) (in radians and degrees) of the line. $$x-\sqrt{3} y+1=0$$

Use a graphing utility to graph the curve represented by the parametric equations. $$\begin{aligned} &x=t+4\\\ &y=t^{2} \end{aligned}$$

A Graphing a Rotated Conic, use a graphing utility to graph the rotated conic. $$r=\frac{4}{4+\sin (\theta-\pi / 3)}$$

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