Chapter 10: Q. 44 (page 677)
In Problems 43–52, identify the graph of each equation without applying a rotation of axes.
Short Answer
The equation defines ellipse.
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Chapter 10: Q. 44 (page 677)
In Problems 43–52, identify the graph of each equation without applying a rotation of axes.
The equation defines ellipse.
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A hyperbola for which is called an equilateral hyperbola. Find the eccentricity of an equilateral hyperbola.
[Note: The eccentricity of a hyperbola is defined in Problem 81.]
Except for degenerate cases, the equation defines if .
Find an equation for each ellipse. Graph the equation by hand.
Center at : focus at : contains the point
Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.
Focus at and vertex at.
In Problems 31– 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40.
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