Graphing conic sections Determine whether the following equations describe a parabola, an ellipse, or a hyperbola, and then sketch a graph of the curve. For each parabola, specify the location of the focus and the equation of the directrix; for each ellipse, label the coordinates of the vertices and foci, and find the lengths of the major and minor axes; for each hyperbola, label the coordinates of the vertices and foci, and find the equations of the asymptotes. 26. x 2 + y 2 9 = 1
Graphing conic sections Determine whether the following equations describe a parabola, an ellipse, or a hyperbola, and then sketch a graph of the curve. For each parabola, specify the location of the focus and the equation of the directrix; for each ellipse, label the coordinates of the vertices and foci, and find the lengths of the major and minor axes; for each hyperbola, label the coordinates of the vertices and foci, and find the equations of the asymptotes. 26. x 2 + y 2 9 = 1
Graphing conic sections Determine whether the following equations describe a parabola, an ellipse, or a hyperbola, and then sketch a graph of the curve. For each parabola, specify the location of the focus and the equation of the directrix; for each ellipse, label the coordinates of the vertices and foci, and find the lengths of the major and minor axes; for each hyperbola, label the coordinates of the vertices and foci, and find the equations of the asymptotes.
26.
x
2
+
y
2
9
=
1
Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.
Find the vertices and foci for the ellipse. Graph the equation.
4x2 +y? = 4
What are the coordinates of the vertices?
(Type an ordered pair. Type exact answers for each coordinate, using radicals as needed. Use a comma to separate answers as needed.)
What are the coordinates of the foci?
(Type an ordered pair. Type exact answers for each coordinate, using radicals as needed. Use a comma to separate answers as needed.)
Which graph shown below is the graph of the ellipse?
O A.
В.
Ay
4-
4-
4-
X
4
of
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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