Consider the function f(x,y) - x-44x- 4y and determine if, at the point (4,0) if the function is a maximum, minimum, saddle point, or if you cannot determine this from the information provided.
Consider the function f(x,y) - x-44x- 4y and determine if, at the point (4,0) if the function is a maximum, minimum, saddle point, or if you cannot determine this from the information provided.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Help with 3 & 4

Transcribed Image Text:3. Consider the function f(x,y) – x-
the function is a maximum, minimum, saddle point, or if you cannot determine this
from the information provided.
44x 4y and determine if, at the point (4,0) if
4. Locate all the relative maxima, relative minima and saddle points for f(x,y) = x2-
xy +y2 +2x + 2y- 11
5. A rectangular box is to contain 4 cubic inches. Find the dimensions of the box for
which the surface area is minimal.
6. Find the point or points on z2 = x + y that are the closest to (4,2,0)
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