(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 26, (1, 4, 3) x + 4y + 6: – 26 = 0 (b) Find a set of symmetric equations for the normal line to the surface at the given point. = L = Z 4 3 Ox - 1 = y - 4 = z - 3 26 26 26 X - 1 - y- 4 z - 3 3 4 O X-1 - y – 4 26 26 z - 3 26 %3D

Calculus: Early Transcendentals
8th Edition
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.
x2 + y2 + z? = 26, (1, 4, 3)
x + 4y + 6z – 26 = 0
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
O X = L
4
1
3
%3D
Ox - 1 = y – 4 = z - 3
O X = Y
26
26
26
х — 1
y – 4 _ z - 3
1
4
x - 1 =
y – 4
26
z - 3
26
26
||
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z? = 26, (1, 4, 3) x + 4y + 6z – 26 = 0 (b) Find a set of symmetric equations for the normal line to the surface at the given point. O X = L 4 1 3 %3D Ox - 1 = y – 4 = z - 3 O X = Y 26 26 26 х — 1 y – 4 _ z - 3 1 4 x - 1 = y – 4 26 z - 3 26 26 ||
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