A surface S is described by the equation f(x, y, z) = n where f(x, y, z) = yz + nx²y+ yz³ (a) Find the equation of the tangent plane to the surface S at the point P(1,1,0). (b) Find the directional derivative of the function f(x,y, z) at the point P(1,1,0) and in the direction u = ni- j+nk

A surface S is described by the equation f(x, y, z) = n where f(x, y, z) = yz + nx²y+ yz³ (a) Find the equation of the tangent plane to the surface S at the point P(1,1,0). (b) Find the directional derivative of the function f(x,y, z) at the point P(1,1,0) and in the direction u = ni- j+nk

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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Question

use n=5

5. A surface S is described by the equation f(x, y, z) = n where
f (x, y, z) = yz + nx²y+ yz³
(a) Find the equation of the tangent plane to the surface S at the point P(1,1,0).
(b) Find the directional derivative of the function f(x, y, z) at the point P(1, 1,0) and in the
direction u = ni-j+nk

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