(a) Find an equation of the tangent plane to the surface at the given point.xyz = 8, (1, 4, 2)(b) Find a set of symmetric equations for the normal line to the surface at the given point.X - 1y - 4 _ z - 28.4Ox - 1 = y - 4 = z - 2y%3D8.42x + 1y + 4z + 28.4x +1y + 4z + 28.4

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Answered: (a) Find an equation of the tangent…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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(a) Find an equation of the tangent plane to the surface at the given point. xyz = 8, (1, 4, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x -1 y- 4 z - 2 %3D 8. Ox - 1 = y - 4 = z - 2 y X + 1 z + 2 4 X + 1 z + 2 2 4. + Io + NIN II 0 +