(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. x+1 y + 3 z +5 = 15 5 3 Ox - 1 = y - 3 = z-5 y Z = 15 0X-1 15 O = = y-3 5 = Z-5 3 0x+1=X+3.25 y z

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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.
x + 1 y + 3 Z + 5
15
=
=
3
5
Ox - 1 = y - 3 = z-5
y Z
=
15
Ox-1
15
O
x + 1
15
=
=
y-3
5
y + 3
3
=
=
Z-5
|- |-
3
z +5
5
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. x + 1 y + 3 Z + 5 15 = = 3 5 Ox - 1 = y - 3 = z-5 y Z = 15 Ox-1 15 O x + 1 15 = = y-3 5 y + 3 3 = = Z-5 |- |- 3 z +5 5
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