a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) b) Find a set of symmetric equations for the normal line to the surface at the given point.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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 = 15, (1, 3, 5)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
Ox - 1 = y - 3 = z-5
=
15
x + 1
15
x + 1
15
x-1
15
y
3
||
=
=
=
Nin +
5
y + 3
5
y + 3
3
y-3
5
=
=
z +5
3
Z + 5
5
Z-5
3
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 1 = y - 3 = z-5 = 15 x + 1 15 x + 1 15 x-1 15 y 3 || = = = Nin + 5 y + 3 5 y + 3 3 y-3 5 = = z +5 3 Z + 5 5 Z-5 3
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