(a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 5, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. OX+1 20 y + 5_ z + 4 4 X - 1 y - 5 z - 4 20 4 Ox - 1 = y - 5 = z – 4 X = y 20 4 X +1 y + 5 z + 4 20 4 5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Find an equation of the tangent plane to the surface at the given point.
xyz = 20, (1, 5, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
x + 1
y + 5
z + 4
%3D
20
4
X - 1
y - 5
Z - 4
20
4
5
Ox - 1 = y - 5 = z - 4
y
20
4
x + 1
y + 5
z + 4
20
4
5.
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 5, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 1 y + 5 z + 4 %3D 20 4 X - 1 y - 5 Z - 4 20 4 5 Ox - 1 = y - 5 = z - 4 y 20 4 x + 1 y + 5 z + 4 20 4 5.
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