91Ó°ÊÓ

In Exercises \(59-64,\) use a graphing utility to graph the polar equation. Find an interval for \(\theta\) for which the graph is traced only once. $$r^{2}=1 / \theta$$

Using a Graphing Utility to Find Polar Coordinates In Exercises \(61-70\) , use a graphing utility to find one set of polar coordinates of the point given in rectangular coordinates. $$(7,-2)$$

Classifying a Conic from a General Equation, classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. $$ 4 y^{2}+4 x^{2}-24 x+35=0 $$

Finding Parametric Equations for a Graph In Exercises \(61-76\) , find a set of parametric equations to represent the graph of the rectangular equation using (a) \(t=x\) and \((b) t=2-x\) $$ y=4-7 x $$

Using a Graphing Utility to Find Polar Coordinates In Exercises \(61-70\) , use a graphing utility to find one set of polar coordinates of the point given in rectangular coordinates. $$(\sqrt{3}, 2)$$

In Exercises 65-68, use a graphing utility to graph the polar equation and show that the indicated line is an asymptote of the graph. $$\begin{array}{ll}{\text { Name of Graph }} & {\text { Polar Equation }} & {\text { Asymptote }} \\ {\text { conchoid }} & {r=2-\sec \theta} & {x=-1}\end{array}$$

Classifying a Conic from a General Equation, classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. $$ x^{2}-6 x-2 y+7=0 $$

True or False? In Exercises 65 and 66, determine whether the statement is true or false. Justify your answer. The graph of \(x^{2}+4 y^{4}-4=0\) is an ellipse.

Finding Parametric Equations for a Graph In Exercises \(61-76\) , find a set of parametric equations to represent the graph of the rectangular equation using (a) \(t=x\) and \((b) t=2-x\) $$ x=2 y+1 $$

Find the distance between the point and the line. Point \(\quad\) Line \((1,-3) \quad y=2 x-5\)