Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
4. Consider the level curves for f(x, y) below J 4321 0 1234 Determine the signs for the following items at point P (a) fr (b) fy (d) fuy (e) fay (f) fy

4. Consider the level curves for f(x, y) below J 4321 0 1234 Determine the signs for the following items at point P (a) fr (b) fy (d) fuy (e) fay (f) fy

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
Solve last 2 parts
4. Consider the level curves for f(x, y) below 4321 0 1234 Determine the signs for the following items at point P (a) fr (b) fy (c) fax (d) fss (e) fry (f) fyz
Transcribed Image Text:4. Consider the level curves for f(x, y) below 4321 0 1234 Determine the signs for the following items at point P (a) fr (b) fy (c) fax (d) fss (e) fry (f) fyz
7:38 b ← (i) fa → change of f along the x-axis. fx we see in the graph, The values of f as we move along the x- axis in the right direction, f=1→23→ 4. Thus, f is increasing as x increases. hence, fx>0. (ii) fy → change of f along the y-axis. we see in the graph, The values of f as we move along the y- axis in the upward direction, f = 2 →1 →0. Thus, f is decreasing as y increases. Hence, fy<0. (iii) fax→Change in fæ along the x-axis. Or fer depends on the density of the level curves along the x-axis. Here, the distance between the level curves is decreasing as x increases. Hence, fax<0. ? VX _||| 4G 56% = Do 8
Transcribed Image Text:7:38 b ← (i) fa → change of f along the x-axis. fx we see in the graph, The values of f as we move along the x- axis in the right direction, f=1→23→ 4. Thus, f is increasing as x increases. hence, fx>0. (ii) fy → change of f along the y-axis. we see in the graph, The values of f as we move along the y- axis in the upward direction, f = 2 →1 →0. Thus, f is decreasing as y increases. Hence, fy<0. (iii) fax→Change in fæ along the x-axis. Or fer depends on the density of the level curves along the x-axis. Here, the distance between the level curves is decreasing as x increases. Hence, fax<0. ? VX _||| 4G 56% = Do 8
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS