Un the curve y = 2x° + 3x´ – 12x + 1 where the tangent is horizontal. 56. For what value of x does the graph of f(x) = e* – 2x hay a horizontal tangent? v %3D 57. Show that the curve y = 2e* + 3x + 5x' has no tangent %3D line with slope 2. 58. Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x – y = 15. 59. Find equations of both lines that are tangent to the curve 3x² + 3x – 3 and are parallel to the line y = x³ – 3x - y = 15. 60. At what point on the curve y = 1 + 2e* – 3x is the tangent line parallel to the line 3x - y = 5? Illustrate by graphing the curve and both lines. 61. Find an equation of the normal line to the curve y = Vx 11:18 AM

Un the curve y = 2x° + 3x´ – 12x + 1 where the tangent is horizontal. 56. For what value of x does the graph of f(x) = e* – 2x hay a horizontal tangent? v %3D 57. Show that the curve y = 2e* + 3x + 5x' has no tangent %3D line with slope 2. 58. Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x – y = 15. 59. Find equations of both lines that are tangent to the curve 3x² + 3x – 3 and are parallel to the line y = x³ – 3x - y = 15. 60. At what point on the curve y = 1 + 2e* – 3x is the tangent line parallel to the line 3x - y = 5? Illustrate by graphing the curve and both lines. 61. Find an equation of the normal line to the curve y = Vx 11:18 AM

Name: Question 57 please Un the curve y = 2x° + 3x´ – 12x + 1where the tange
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Description: Question 57 please Un the curve y = 2x° + 3x´ – 12x + 1where the tangent is horizontal.56. For what value of x does the graph of f(x) = e* – 2x haya horizontal tangent?v%3D57. Show that the curve y = 2e* + 3x + 5x' has no tangent%3Dline with slope 2.

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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