(a) The curve with equation y = x + 3x² is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve at the point (1, 2).y =(b) At what points does this curve have horizontal tangents?(x, y) :(smaller y-value)=(х, у) -(larger y-value)(c) Illustrate parts (a) and (b) by graphing the curve and the tangent lines on a common screen.y31y(1, 2)38(1, 2)27-32-32,8327-3--3y31(-2, 2)y3-(1, 2)(1, 2)(0, 1)-32(-2, -2)-3F

Answered: Image /qna-images/answer/f9ccfd4e-e593-4edd-90c6-63f5ec69b249.jpg

Answered: (a) The curve with equation y = x + 3x²…

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 an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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