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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed029406-a1c1-473f-a3a0-6fd0fbd8e89d%2Ff3af0393-5751-40a9-a9ea-6161b193f1ea%2Fg5akyt4i_processed.jpeg&w=3840&q=75)
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.
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