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(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z? = 21, (1, 4, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 1 = y - 4 = z - 2 O X-1 - y-4 z- 2 %3D 4 メンニ 21 21 21 4 2. O X-1 - y – 4 = 21 Z- 2 21 %3D 21

(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z? = 21, (1, 4, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 1 = y - 4 = z - 2 O X-1 - y-4 z- 2 %3D 4 メンニ 21 21 21 4 2. O X-1 - y – 4 = 21 Z- 2 21 %3D 21

Calculus: Early Transcendentals
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. x² + y? + z2 = 21, (1, 4, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox- 1 = y – 4 = z – 2 OX-1 OX-1 _ y – 4 _ z - 2 1 21 21 21 1 4 x - 1 y- 4 |21 z- 2 21 21
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z2 = 21, (1, 4, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox- 1 = y – 4 = z – 2 OX-1 OX-1 _ y – 4 _ z - 2 1 21 21 21 1 4 x - 1 y- 4 |21 z- 2 21 21
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