91Ó°ÊÓ

Find polar equations for the circles in Exercises \(57-64 .\) Sketch each circle in the coordinate plane and label it with both its Cartesian and polar equations. $$x^{2}-16 x+y^{2}=0$$

Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Exercises \(57-68 .\) $$ 9 x^{2}+6 y^{2}+36 y=0 $$

Find polar equations for the circles in Exercises \(57-64 .\) Sketch each circle in the coordinate plane and label it with both its Cartesian and polar equations. $$x^{2}+y^{2}+y=0$$

Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Exercises \(57-68 .\) $$ x^{2}+2 y^{2}-2 x-4 y=-1 $$

Replace the Cartesian equations in Exercises \(53-66\) with equivalent polar equations. $$x^{2}+(y-2)^{2}=4$$

Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Exercises \(57-68 .\) $$ 4 x^{2}+y^{2}+8 x-2 y=-1 $$

Find polar equations for the circles in Exercises \(57-64 .\) Sketch each circle in the coordinate plane and label it with both its Cartesian and polar equations. $$x^{2}+y^{2}-\frac{4}{3} y=0$$

Graph the lines and conic sections in Exercises \(65-74.\) $$r=3 \sec (\theta-\pi / 3)$$

Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Exercises \(57-68 .\) $$ x^{2}-y^{2}-2 x+4 y=4 $$

Replace the Cartesian equations in Exercises \(53-66\) with equivalent polar equations. $$(x-3)^{2}+(y+1)^{2}=4$$