Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let f(x, y) = e-2x sin(3y). (a) Using difference quotients with Ax = 0.1 and Ay = 0.1, we estimate fx(2, -3) ≈ fy(2,-3)≈ (b) Using difference quotients with Ax = 0.01 and Ay = 0.01, we find better estimates: fx(2, -3) ≈ fy(2,-3)~

Let f(x, y) = e-2x sin(3y). (a) Using difference quotients with Ax = 0.1 and Ay = 0.1, we estimate fx(2, -3) ≈ fy(2,-3)≈ (b) Using difference quotients with Ax = 0.01 and Ay = 0.01, we find better estimates: fx(2, -3) ≈ fy(2,-3)~

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

Answer this Vector Calculus Problems

Let \( f(x, y) = e^{-2x} \sin(3y) \). (a) Using difference quotients with \(\Delta x = 0.1\) and \(\Delta y = 0.1\), we estimate \[ f_x(2, -3) \approx \quad \] \[ f_y(2, -3) \approx \quad \] (b) Using difference quotients with \(\Delta x = 0.01\) and \(\Delta y = 0.01\), we find better estimates: \[ f_x(2, -3) \approx \quad \] \[ f_y(2, -3) \approx \quad \]
Transcribed Image Text:Let \( f(x, y) = e^{-2x} \sin(3y) \). (a) Using difference quotients with \(\Delta x = 0.1\) and \(\Delta y = 0.1\), we estimate \[ f_x(2, -3) \approx \quad \] \[ f_y(2, -3) \approx \quad \] (b) Using difference quotients with \(\Delta x = 0.01\) and \(\Delta y = 0.01\), we find better estimates: \[ f_x(2, -3) \approx \quad \] \[ f_y(2, -3) \approx \quad \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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,
SEE MORE TEXTBOOKS