(a) Find an equation of the tangent plane to the surface at the given point. z = x? - y?, (8, 4, 48) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 8 = y – 4 = z – 48 O X- 8 у - 4 z - 48 16 -8 x + 8 y + 4 z + 48 16 -8 -1 %3D 16 -8 -1 Ox + 8 = y + 4 = z + 48

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 33E
icon
Related questions
Question

How would I go about this hw problem? the chapter is on Tangent Planes & Normal Lines

(a) Find an equation of the tangent plane to the surface at the given point.
z = x? - y?, (8, 4, 48)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
Ox - 8 = y – 4 = z - 48
X - 8
y – 4
Z - 48
16
-8
-1
x + 8
y + 4 z + 48
16
-8
-1
y
%D
16
-8
-1
Ox + 8 = y + 4 = z + 48
||
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x? - y?, (8, 4, 48) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 8 = y – 4 = z - 48 X - 8 y – 4 Z - 48 16 -8 -1 x + 8 y + 4 z + 48 16 -8 -1 y %D 16 -8 -1 Ox + 8 = y + 4 = z + 48 ||
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage