(a) Find an equation of the tangent plane to the surface at the given point. x + y +z = 11, (4, 5, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. X - 4 - y - 5- z - 2 4 5 2 Ox - 4 = y - 5 = z - 2 OX - 4 - y - 5_ z - 2 4 04x = 5y = 2z OX = L- Z 4 5 2

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.
x + y +z = 11, (4, 5, 2)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
X - 4 - y - 5- z - 2
4
5 2
Ox - 4 = y - 5 = z - 2
x – 4 - y - 5 z - 2
4
04x = 5y = 2z
OX = Y - Z
4
5 2
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y +z = 11, (4, 5, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. X - 4 - y - 5- z - 2 4 5 2 Ox - 4 = y - 5 = z - 2 x – 4 - y - 5 z - 2 4 04x = 5y = 2z OX = Y - Z 4 5 2
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