Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 – y2) x, y) (smaller x-value, smaller y-value) (x, y) = ( (smaller x-value, larger y-value) ( (х, у) 3D (larger x-value, smaller y-value) (х, у) 3D (larger x-value, larger y-value)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Find the points on the lemniscate where the tangent is horizontal.
8(x2 + y2)2 = 81(x2 – y2)
(x, y)
(smaller x-value, smaller y-value)
=
(х, у)
(smaller x-value, larger y-value)
(х, у)
) (larger x-value, smaller y-value)
=
(x, y) =
(larger x-value, larger y-value)
yA
Transcribed Image Text:Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 – y2) (x, y) (smaller x-value, smaller y-value) = (х, у) (smaller x-value, larger y-value) (х, у) ) (larger x-value, smaller y-value) = (x, y) = (larger x-value, larger y-value) yA
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