Find an equation of the tangent line to the curve (a lemniscate) at the point (3, -1). 2(x² + y²)² = 25(x² - y²) An help (equations) of the tangent line to the lemniscate at the given point is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find an equation of the tangent line to the curve 

\[ 2(x^2 + y^2)^2 = 25(x^2 - y^2) \]

(a lemniscate) at the point \( (3, -1) \).

An help (equations) of the tangent line to the lemniscate at the given point is \(\underline{\hspace{1cm}}\).
Transcribed Image Text:Find an equation of the tangent line to the curve \[ 2(x^2 + y^2)^2 = 25(x^2 - y^2) \] (a lemniscate) at the point \( (3, -1) \). An help (equations) of the tangent line to the lemniscate at the given point is \(\underline{\hspace{1cm}}\).
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