(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. OX- 3 3 y - 4 _ z - 3 4 3 y 3 4 3 Ох- 3 %3D у 4 = z - 3 z - 3 O x - 3 3 y 4 3 4 O3x = 4y = 3z

Calculus: Early Transcendentals
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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.
x + y + z = 10,
(3, 4, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y – 4
z - 3
OX- 3
3
=
4
3
y
3
4
3
Ox - 3 = y – 4 = z - 3
y - 4_ z -
OX - 3
3
3
3
4
O3x = 4y = 3z
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. y – 4 z - 3 OX- 3 3 = 4 3 y 3 4 3 Ox - 3 = y – 4 = z - 3 y - 4_ z - OX - 3 3 3 3 4 O3x = 4y = 3z
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