Graph the curve with equation ỹ° - 1)(y – 2) = x(x – 1)(x – 2) At how many points does the curve have horizontal tangents? Estimate the x- coordinates of these points. Find the equations of the tangent lines at the points (0,1) and (0,2) Find the exact x-coordinates of the points of these points. Create even more fanciful curves by modifying the equation

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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Graph the curve with equation YV“ - 1)(y – 2) = x(x – 1)(x – 2)
At how many points does the curve have horizontal tangents? Estimate the x-
coordinates of these points.
Find the equations of the tangent lines at the points (0,1) and (0,2)
Find the exact x-coordinates of the points of these points.
Create even more fanciful curves by modifying the equation
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Transcribed Image Text:Graph the curve with equation YV“ - 1)(y – 2) = x(x – 1)(x – 2) At how many points does the curve have horizontal tangents? Estimate the x- coordinates of these points. Find the equations of the tangent lines at the points (0,1) and (0,2) Find the exact x-coordinates of the points of these points. Create even more fanciful curves by modifying the equation %3D
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