Let f(x₁) = 4√xy² + 4y + ex 1. Use local linear approximation to estimate. 4√ (0.1) (0.9)² + 4(0.9) +e (0.1) (0.a)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

show complete solution for 1

Let f(x,y) = 4√xy² + 4y + ex
те
1. Use local linear approximation to estimate.
4√ (0-1)(0.9)² + 4(0.9) te Co.1) (0.a)
2. Suppose that z =
f(x,y) with x-In (26-1²)
and y= 2s²t²tt. Vse multivariable chain
rule to compute az when (sit)= (1₁-1).
at
Transcribed Image Text:Let f(x,y) = 4√xy² + 4y + ex те 1. Use local linear approximation to estimate. 4√ (0-1)(0.9)² + 4(0.9) te Co.1) (0.a) 2. Suppose that z = f(x,y) with x-In (26-1²) and y= 2s²t²tt. Vse multivariable chain rule to compute az when (sit)= (1₁-1). at
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,