) Find equations of the tangent line and normal line to the given curve at the specified point. y = 6xex, (0, 0) 2) Find the points on the curve where the tangent line is horizontal. y = 2x3 + 3x2 − 12x + 9 3) Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the point (0, −4). Find the coordinates of the points where these tangent lines intersect the parabola.

) Find equations of the tangent line and normal line to the given curve at the specified point. y = 6xex, (0, 0) 2) Find the points on the curve where the tangent line is horizontal. y = 2x3 + 3x2 − 12x + 9 3) Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the point (0, −4). Find the coordinates of the points where these tangent lines intersect the parabola.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.1: Parabolas

Problem 33E

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