11. The curve with the equation 2(x? + y?)2 = 25(x² – y?) is called a lemniscate (shown below). (a) Find an equation of the tangent line to the curve at (3,1). (b) At how many points does the curve have horizontal tangents? (c) Estimate the coordinates of these points [Hint: Read off the coordinates from the x - and y - gres Use fractions1

11. The curve with the equation 2(x? + y?)2 = 25(x² – y?) is called a lemniscate (shown below). (a) Find an equation of the tangent line to the curve at (3,1). (b) At how many points does the curve have horizontal tangents? (c) Estimate the coordinates of these points [Hint: Read off the coordinates from the x - and y - gres Use fractions1

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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