(a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 5, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 1 y + 5 _ z + 3 !! 15 3 x + 1 y + 5 z + 3 15 5 X – 1 = y – 5 = z – 3 X - 1 y- 5 z - 3 15 3 !! 15

Calculus: Early Transcendentals
8th Edition
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.
xyz = 15,
(1, 5, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
x + 1
y + 5
z + 3
%3D
15
5
x + 1
y + 5
z + 3
15
X -1 = y - 5 = z – 3
X - 1_y- 5_ z – 3
15
3.
5
y
15
3
||
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 5, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 1 y + 5 z + 3 %3D 15 5 x + 1 y + 5 z + 3 15 X -1 = y - 5 = z – 3 X - 1_y- 5_ z – 3 15 3. 5 y 15 3 ||
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