The Trisectrix of Maclaurin is a curve defined by the equation: y2 + xy2 = 3x2 -x3. a) Briefly explain why the Trisectrix curve does not represent the graph of a function of x. b) Find the equation of the tangent line to the curve at the point (1, -1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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The Trisectrix of Maclaurin is a curve defined by the equation: y2 + xy2 = 3x-x3.

a) Briefly explain why the Trisectrix curve does not represent the graph of a function of x.

b) Find the equation of the tangent line to the curve at the point (1, -1)

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