Find the equation by determining the type of the conic and draw its graph. 25x^2+9y^2-100x+54y-44=0

a. What is the best way of determining whether the given equation is a circle? b. How will you describe the graphs of the equations that are not circles?

What is the eccentricity of a conic section? How can you classify conic sections by eccentricity? How does eccentricity change the shape of ellipses and hyperbolas?

A polar conic section Consider the equation $r^2=sec2\theta$. Convert the equation to Cartesian coordinates and identify the curve

For Exercise,

a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola.

b. Graph the curve. c. Identify key features of the graph. That is. If the equation represents a circle, identify the center and radius.

If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity.

If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity.

If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry. $x^2+y^2-4x-6y+1=0$

To determine: Find the lateral area of the conical tent.

Perform a rotation of axes to eliminate the xy-term. xy+5=0

A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?