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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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)
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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