I am struggling with this question. Consider the surfaceWhat is the equation of the tangent plane to the surface at the pointP(3,-3,-4)?-4x - 5y3z = 153x3y4z = 153x - 3y4z = 0-2x³ - 2xy + 2xyz = 0-4x - 5y-3z = 0What is the equation of the line normal to the surface at the pointP(3,-3,-4)?3-0-0-0=-3 + t-4O-2x3 - 2xy + 2xyz = 36.-0-6= t-30OOO-24-183-0-0-0)8 -3+t4-18-243·0-C-C (²)=-30 + t-3-18,3-0-0)= t -3-4-24-18,-24

Given surface is -2x3-2xy+2xyz=36 The equations of the tangent plane and the line normal to the…

Consider the surface What is the equation of the tangent plane to the surface at the point P(3,-3,-4)? O-4x - 5y-3z = 15 3x3y4z = 15 3x-3y-4z=0 0-2x³ O-4x - 5y-3z=0 -2x³ - 2xy + 2xyz = 36. What is the equation of the line normal to the surface at the point P(3,-3,-4)? 3 ·0-0)- (1) O = -3 O 2xy + 2xyz = 0 O -24 -0-0) = t -30 4 O +t -18, 3 -0-0-0 -3 + t -24 -30 -18, 3 -0-0 = t -3 4 -24 -0-0-0) +t -18, -24 -18 3 -3 4

Consider the surface What is the equation of the tangent plane to the surface at the point P(3,-3,-4)? O-4x - 5y-3z = 15 3x3y4z = 15 3x-3y-4z=0 0-2x³ O-4x - 5y-3z=0 -2x³ - 2xy + 2xyz = 36. What is the equation of the line normal to the surface at the point P(3,-3,-4)? 3 ·0-0)- (1) O = -3 O 2xy + 2xyz = 0 O -24 -0-0) = t -30 4 O +t -18, 3 -0-0-0 -3 + t -24 -30 -18, 3 -0-0 = t -3 4 -24 -0-0-0) +t -18, -24 -18 3 -3 4

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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