f(r) = 2x - y³ +2²=0 (a) Confirm that the point P, with position p = (-1,-1, 1), lies on surface S and find a vector normal to Sat P. (b) Find the equation of the plane tangent to S at P and the x-intercept of that plane.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
icon
Related questions
Question
Consider the surface S given by the equation
f(r) = 2x − y³ +2²=0
(a) Confirm that the point P, with position p = (-1,-1, 1), lies on surface S and find a vector
normal to S at P.
(b) Find the equation of the plane tangent to S at P and the x-intercept of that plane.
Transcribed Image Text:Consider the surface S given by the equation f(r) = 2x − y³ +2²=0 (a) Confirm that the point P, with position p = (-1,-1, 1), lies on surface S and find a vector normal to S at P. (b) Find the equation of the plane tangent to S at P and the x-intercept of that plane.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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