(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 6 = y + 2 = z + 32 x + 6 y + 2 z + 32 12 -4 -1 y 2 z - 32 12 -4 -1 Ох - 6 %3D у — 2 %3D 2 - 32 y 12 -4 -1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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.
z = x2 - y2, (6, 2, 32)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
Ox + 6 = y + 2 = z + 32
x + 6
y + 2
z + 32
12
-4
-1
y
2
z - 32
12
-4
-1
Ох - 6 %3D у — 2 %3D 2 — 32
12
-4
-1
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 6 = y + 2 = z + 32 x + 6 y + 2 z + 32 12 -4 -1 y 2 z - 32 12 -4 -1 Ох - 6 %3D у — 2 %3D 2 — 32 12 -4 -1
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