Explanation Given: x ² − 2 x y + y ² − 2 x + 3 y + 5 = 0 , Formula used: To transform A x ² + B x y + C y ² + D x + E y + F = 0 , B ≠ 0 into an equation in x ' and y ' without an x ′ y ′ -term, rotate the axes through an angle θ that satisfies the equation Cot ( 2 θ ) = A − C B ...

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 10.5, Problem 10AYU

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Whether, to eliminate the $x y$ -term from the equation $x ² - 2 x y + y ² - 2 x + 3 y + 5 = 0$ , rotate the axes through an angle $θ$ , where $cot θ = B ² - 4 A C$ is true or false.

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Chapter 10.5, Problem 9AYU

Chapter 10.5, Problem 11AYU

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Whether, to eliminate the x y -term from the equation x ² − 2 x y + y ² − 2 x + 3 y + 5 = 0 , rotate the axes through an angle θ , where cot θ = B ² − 4 A C is true or false.

Solution Summary: The author explains the formula used to determine whether to eliminate the x y -term from the equation, if it is true, or false.

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Whether, to eliminate the $x y$ -term from the equation $x ² - 2 x y + y ² - 2 x + 3 y + 5 = 0$ , rotate the axes through an angle $θ$ , where $cot θ = B ² - 4 A C$ is true or false.

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Chapter 10 Solutions

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Whether, to eliminate the x y -term from the equation x ² − 2 x y + y ² − 2 x + 3 y + 5 = 0 , rotate the axes through an angle θ , where cot θ = B ² − 4 A C is true or false.

Solution Summary: The author explains the formula used to determine whether to eliminate the x y -term from the equation, if it is true, or false.

Concept explainers

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Whether, to eliminate the xy -term from the equation x² − 2xy + y² − 2x + 3y + 5 = 0 , rotate the axes through an angle θ , where cotθ = B² − 4AC is true or false.

Want to see the full answer?

Chapter 10 Solutions

Additional Math Textbook Solutions

Whether, to eliminate the $x y$ -term from the equation $x ² - 2 x y + y ² - 2 x + 3 y + 5 = 0$ , rotate the axes through an angle $θ$ , where $cot θ = B ² - 4 A C$ is true or false.