Use the Principal Axes Theorem to perform a rotation of the axes to eliminate xy term in the following quadratic equation:7x2+32xy-17y2-50=0Identify the resulting rotated conic and give its equation in the new coordinate system.

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Answered: Use the Principal Axes Theorem to…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 20E

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Use the Principal Axes Theorem to perform a rotation of the axes to eliminate xy term in the following quadratic equation:

7x²+32xy-17y²-50=0

Identify the resulting rotated conic and give its equation in the new coordinate system.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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