1. (a) Write down an equation for the plane tangent to the surface Vr+ Vy+ Vz = Vc at the%3Dpoint (xo, Yo, zo). Assume c > 0 is a constant.(b) Show the sum of the x-, y- and z- intercepts of any tangent plane to this surface is aconstant (that is, the same constant, no matter which tangent plane you've chosen!),and find the constant.

PART A Given that : fx,y,z=0x+y+z-c=0 For partial derivatives of x, fx=12xfxx0,y0,z0=12x0 For…

(a) Write down an equation for the plane tangent to the surface Væ+ Vỹ+vz = Vc at the point (xo, Yo, zo). Assume c> 0 is a constant. (b) Show the sum of the -, y- and z- intercepts of any tangent plane to this surface is a constant (that is, the same constant, no matter which tangent plane you’ve chosen!), and find the constant

(a) Write down an equation for the plane tangent to the surface Væ+ Vỹ+vz = Vc at the point (xo, Yo, zo). Assume c> 0 is a constant. (b) Show the sum of the -, y- and z- intercepts of any tangent plane to this surface is a constant (that is, the same constant, no matter which tangent plane you’ve chosen!), and find the constant

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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