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Let H be the hyperbola 44x2 + 676xy + 551y = = 4500. The change of coordinates V5 V5 transforms the equation of H into an equation of a non-rotated hyperbola in the uv- coordinate system. Observe that the 2 x 2 matrix corresponding to the above-stated change of coordinates is Re , where 0=arctan(2). Apply the change of coordinates indicated above to determine the exact value of the distance between the two foci of the hyperbola Н. What is the distance between the two foci of Н?

Let H be the hyperbola 44x2 + 676xy + 551y = = 4500. The change of coordinates V5 V5 transforms the equation of H into an equation of a non-rotated hyperbola in the uv- coordinate system. Observe that the 2 x 2 matrix corresponding to the above-stated change of coordinates is Re , where 0=arctan(2). Apply the change of coordinates indicated above to determine the exact value of the distance between the two foci of the hyperbola Н. What is the distance between the two foci of Н?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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Let H be the hyperbola 44x2 + 676xy + 551y = 4500. The change of coordinates 1 V5 и %3D y V5 transforms the equation of H into an equation of a non-rotated hyperbola in the uv- coordinate system. Observe that the 2 x 2 matrix corresponding to the above-stated change of coordinates is Rø , where 0=arctan(2). Apply the change of coordinates indicated above to determine the exact value of the distance between the two foci of the hyperbola Н. What is the distance between the two foci of Н?
Transcribed Image Text:Let H be the hyperbola 44x2 + 676xy + 551y = 4500. The change of coordinates 1 V5 и %3D y V5 transforms the equation of H into an equation of a non-rotated hyperbola in the uv- coordinate system. Observe that the 2 x 2 matrix corresponding to the above-stated change of coordinates is Rø , where 0=arctan(2). Apply the change of coordinates indicated above to determine the exact value of the distance between the two foci of the hyperbola Н. What is the distance between the two foci of Н?
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