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
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
Problem 1RQ
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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 \(\underline{\hspace{1cm}}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6c24633-c3cc-42f6-867b-8e6b80becf9d%2F5d60ff34-f05d-4284-a165-515493b2dc4c%2Fbxhsbu4_processed.png&w=3840&q=75)
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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