(a) Find an equation of the tangent plane to the surface at the given point. x + y + z - 10, (2, 3, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point y oX-2 - Y-3 - y - 3 z - 5 5 Ox - 2 - y - 3 = z - 5 z - 5 %3D x - 2 y - 3 2 N lun

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 = 10, (2, 3, 5)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y
=
3
5
X - 2
y - 3 -
z - 5
2
3
5
Ox - 2 - y - 3 = z - 5
x - 2 - y - 3 z - 5
%3D
%3D
O2x = 3y
= 5z
%3D
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (2, 3, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. y = 3 5 X - 2 y - 3 - z - 5 2 3 5 Ox - 2 - y - 3 = z - 5 x - 2 - y - 3 z - 5 %3D %3D O2x = 3y = 5z %3D
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