1. (a) Write down an equation for the plane tangent to the surface Vr+ VG+ Vz = Vc at the point (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 a constant (that is, the same constant, no matter which tangent plane you've chosen!), and find the constant.

1. (a) Write down an equation for the plane tangent to the surface Vr+ VG+ Vz = Vc at the point (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 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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