Find the equation of the curve whose third derivative at any point P(x, y) is equal to 2 and has at ¤ = −2 a point of inflection with inflectional tangent 3x + 2y + 4 = 0. 3y = x³ + 2x² + 15x +4 6y = 2x³ + 12x² + 15x +4 O 3y = 2x³ + 6x² + 15x + 2 3 6y = 2x³ + 12x² + 15x+7

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 equation of the curve whose third derivative at any
point P(x, y) is equal to 2 and has at x = −2 a point of
inflection with inflectional tangent 3x + 2y + 4 = 0.
3y = x³ + 2x² + 15x +4
X
6y = 2x³ + 12x² + 15x +4
O 3y = 2x³ + 6x² + 15x + 2
3
6y = 2x³ + 12x² + 15x+7
Transcribed Image Text:Find the equation of the curve whose third derivative at any point P(x, y) is equal to 2 and has at x = −2 a point of inflection with inflectional tangent 3x + 2y + 4 = 0. 3y = x³ + 2x² + 15x +4 X 6y = 2x³ + 12x² + 15x +4 O 3y = 2x³ + 6x² + 15x + 2 3 6y = 2x³ + 12x² + 15x+7
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