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Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y" = 3(y')? O y"y – 3(y/")² = 0 O y" y + 6(y")² = 0 O y'y + (3")³ = 0

Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y" = 3(y')? O y"y – 3(y/")² = 0 O y" y + 6(y")² = 0 O y'y + (3")³ = 0

Trigonometry (MindTap Course List)
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 differential equation of a family of parabolas with an axis parallel to the x-axis. O y" y" = 3(y/)? O y"y – 3(y/")² = 0 O y"y + 6(y")² = 0 O y'y + (y")³ = 0
Transcribed Image Text:Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y" y" = 3(y/)? O y"y – 3(y/")² = 0 O y"y + 6(y")² = 0 O y'y + (y")³ = 0
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