1. Consider function f(x,y) for which = 24x² + 114y and %= 114x + 24y2. Wbich of the points (5, 5) and (-6, –6) is a critical point of f(x,y). Justify your answer.

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
100%
19:39
4G
1.
Consider function f(x, y) for which = 24x? + 114y and I = 114x + 24y?. Wbich of the
points (5,5) and (-6, –6) is a critical point of f(x, y). Justify your answer.
2.
Function g(x, y) is differentiable everywhere. Classify its critical point (0, -2) if the following
is true for g(x, y): g(0, –2) = -2, gxx (0,–2) = -1, gyz (0,–2) = 2, gyy (0, -2) = -5.
Justify your answer.
Add a caption...
> Status (Custom)
+
Transcribed Image Text:19:39 4G 1. Consider function f(x, y) for which = 24x? + 114y and I = 114x + 24y?. Wbich of the points (5,5) and (-6, –6) is a critical point of f(x, y). Justify your answer. 2. Function g(x, y) is differentiable everywhere. Classify its critical point (0, -2) if the following is true for g(x, y): g(0, –2) = -2, gxx (0,–2) = -1, gyz (0,–2) = 2, gyy (0, -2) = -5. Justify your answer. Add a caption... > Status (Custom) +
Expert Solution
steps

Step by step

Solved in 4 steps with 3 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,