Find the equation for the line tangent to the parametric curve: at the points where t = 4 and t = -4. For t = 4, the tangent line (in form y = mx + b) is y For t = -4, the tangent line is x = t³ - 16t Y 16t² - 14 =

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.
icon
Related questions
Question
Find the equation for the line tangent to the parametric curve:
at the points where t
For t = 4, the tangent line (in form y = mx + b) is
0
y = =
For t
y =
=
-
= 4 and t = -4.
-4, the tangent line is
0
X
Y
=
=
t³ - 16t
16t²t4
Transcribed Image Text:Find the equation for the line tangent to the parametric curve: at the points where t For t = 4, the tangent line (in form y = mx + b) is 0 y = = For t y = = - = 4 and t = -4. -4, the tangent line is 0 X Y = = t³ - 16t 16t²t4
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage