Let z = sin(7(z – 2y²)). None of these is true. (-1,1,–4(1– x). A normal to the tangent plane to the surface at and this tangent plane contains the point A normal to the tangent plane to the surface at (,5) is n = ( -1) and this tangent plane contains the point (1, -1, – (1+ 7)). (3. }) is n = (--. rv2, 1) (1.1.-41+ =). O A normal to the tangent plane to the surface at and this tangent plane contains the point A normal to the tangent plane to the surface at and this tangent plane contains the point -1,1, - (1+ 7)). A normal to the tangent plane to the surface at (5.5) is n=-551) and this tangent plane contains the point -1,1, -(1+7)).

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
Let z = sin(7(2 - 2y²)).
None of these is true.
(-1,1,-4(1- 1).
is n
and this tangent plane contains the point
A normal to the tangent plane to the surface at
V2
A normal to the tangent plane to the surface at (,5) is n= -1)
and this tangent plane contains the point (1,-1,- (1 + 7)).
(}. }) is z2 = (-.7v2, 1)
(6.5) =z = ( 1)
and this tangent plane contains the point (1, 1, –(1+ 7)).
A normal to the tangent plane to the surface at
A normal to the tangent plane to the surface at
and this tangent plane contains the point (-1, 1, - (1+ 7)).
1,1, - (1 + 7).
A normal to the tangent plane to the surface at
and this tangent plane contains the point
Transcribed Image Text:Let z = sin(7(2 - 2y²)). None of these is true. (-1,1,-4(1- 1). is n and this tangent plane contains the point A normal to the tangent plane to the surface at V2 A normal to the tangent plane to the surface at (,5) is n= -1) and this tangent plane contains the point (1,-1,- (1 + 7)). (}. }) is z2 = (-.7v2, 1) (6.5) =z = ( 1) and this tangent plane contains the point (1, 1, –(1+ 7)). A normal to the tangent plane to the surface at A normal to the tangent plane to the surface at and this tangent plane contains the point (-1, 1, - (1+ 7)). 1,1, - (1 + 7). A normal to the tangent plane to the surface at and this tangent plane contains the point
Expert Solution
Normal to Tangent Plane

For a function z=fx,y, the tangent plane at point x0,y0 is defined as:

                    z=fx0,y0+fxx0,y0x-x0+fyx0,y0y-y0

The Normal to tangent plane at x0,y0 is defined as: n=-fxx0,y0,-fyx0,y0,1.

Given function is z=sinπx2-2y2. Let fx,y=sinπx2-2y2.

The given point is 12,12.

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