91Ó°ÊÓ

Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph, showing the asymptotes and the foci. $$\frac{x^{2}}{9}-\frac{y^{2}}{4}=1$$

Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. $$ \frac{x^{2}}{9}+\frac{y^{2}}{4}=1 $$

Exer. 1-12: Find the eccentricity, and classify the conic. Sketch the graph, and label the vertices. $$ r=\frac{12}{6+2 \sin \theta} $$

Exer. 1-12: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix. $$ 8 y=x^{2} $$

Which polar coordinates represent the same point as \((3, \pi / 3) ?\) (a) \((3,7 \pi / 3)\) (b) \((3,-\pi / 3)\) (c) \((-3,4 \pi / 3)\) (d) \((3,-2 \pi / 3)\) (e) \((-3,-2 \pi / 3)\) (f) \((-3,-\pi / 3)\)

Exer. 1-12: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix. $$ 20 x=y^{2} $$

Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph, showing the asymptotes and the foci. $$\frac{y^{2}}{49}-\frac{x^{2}}{16}=1$$

Exer. 1-12: Find the eccentricity, and classify the conic. Sketch the graph, and label the vertices. $$ r=\frac{12}{6-2 \sin \theta} $$

Which polar coordinates represent the same point as \((4,-\pi / 2) ?\) (a) \((4,5 \pi / 2)\) (b) \((4,7 \pi / 2)\) (c) \((-4,-\pi / 2)\) (d) \((4,-5 \pi / 2)\) (e) \((-4,-3 \pi / 2)\) (f) \((-4, \pi / 2)\)

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