# Conic sections questions and answers Recent questions in Conic sections
Conic sections
ANSWERED ### Use your some other reference source to find real-life applications of (a) linear differential equations and (b) rotation of conic sections that are different than those discussed in this section.

Conic sections
ANSWERED ### 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. $$x^2\ +\ y^2\ −\ 4x\ −\ 6y\ +\ 1 = 0$$

Conic sections
ANSWERED ### What are the standard equations for lines and conic sections in polar coordinates? Give examples.

Conic sections
ANSWERED ### The solutions of nonlinear systems of equations are points that have intersection of ? tapered sections.

Conic sections
ANSWERED ### Instructions: Graph the conic section and make sure to label the coordinates in the graph. Include all the calculations needed to complete the graph. Give the standard form (SF) and the general form (GF) of the conic sections. HYPERBOLA: 1) The vertices are at (-2, 0) and (2, 0). The conjugate axis' length is 6.

Conic sections
ANSWERED ### The circle, ellipse, hyperbola, and parabola are examples of conic sections. Their quation contains $$x^2 terms, y^2$$ terms, or both. When these terms both appear, are on the same side, and have different coefficients with same signs, the equation is that of an ellipse.

Conic sections
ANSWERED ### Solve, a. If necessary, write the equation in one of the standard forms for a conic in polar coordinates $$r = \frac{6}{2 + sin \theta}$$ b. Determine values for e and p. Use the value of e to identify the conic section. c. Graph the given polar equation.

Conic sections
ANSWERED ### Find and calculate the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections $$x^2 + 2y^2 - 2x - 4y = -1$$

Conic sections
ANSWERED ### Identify the conic with th e given equa­tion and give its equation in standard form $$6x^2 - 4xy + 9y^2 - 20x - 10y - 5 = 0$$

Conic sections
ANSWERED ### 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?

Conic sections
ANSWERED ### Write a conic section with polar equation the focus at the origin and the given data hyperbola, eccentricity 2.5, directrix y = 2

Conic sections
ANSWERED ### Identify the graph of the nondegenerate conic sections: $$4x^2 - 25y^2 - 24x + 250y - 489 = 0$$.

Conic sections
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