Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use symbolic notation and fractions where needed.) L(x, y) = 3.01 Use the linearization to approximate - V(2.03)(7.98) (Use decimal notation. Give your answer to four decimal places.) L(3.01, 2.03, 7.98) 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 8E
icon
Related questions
Question
Find the linearization of f(x, y, z) = at the point (3, 2, 8).
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
L(x, y) =
3.01
Use the linearization to approximate
V(2.03)(7.98)*
(Use decimal notation. Give your answer to four decimal places.)
L(3.01, 2.03, 7.98) =
Transcribed Image Text:Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use symbolic notation and fractions where needed.) L(x, y) = 3.01 Use the linearization to approximate V(2.03)(7.98)* (Use decimal notation. Give your answer to four decimal places.) L(3.01, 2.03, 7.98) =
Expert Solution
Step 1

Introduction:

The formula of linearization of a function f(x,y,z) at (a,b,c) is given by,

L(x,y,z)=f(a,b,c)+fx(a,b,c)(x-a)+fy(a,b,c,)(y-b)+fz(a,b,c)(z-c)

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill