(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. O X -L = 2 3 3 4 Ox - 3 = y - 3 = z - 4 O 3x = 3y = 4z y – 3 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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(a) Find an equation of the tangent plane to the surface at the given point.
x + y + z = 10, (3, 3, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
O X = L = z
3
4
3
Ox - 3 = y - 3 = z - 4
O 3x = 3y = 4z
х-3
y – 3 - z - 4
3
4
3
4
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. O X = L = z 3 4 3 Ox - 3 = y - 3 = z - 4 O 3x = 3y = 4z х-3 y – 3 - z - 4 3 4 3 4
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