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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)).

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)).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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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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