-x* + 4xy – 2y² + 1. 13. Find the maximum value of the function f(x,y) = 6 – 4x2 - y? subject to the constraint 4x + y = 5. %3D |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please answer number 13!
11. Find an equation of the tangent plane to the surface Vr+VGtvz = 4 at the point P(4,1,1).
12. Find the local maximum and minimum values and saddle point(s) of the function f(x,y) =
-x4 + 4xy – 2y² + 1.
%3D
13. Find the maximum value of the function f(x,y) = 6 –4x2 - y? subject to the constraint
4x + y = 5.
Transcribed Image Text:11. Find an equation of the tangent plane to the surface Vr+VGtvz = 4 at the point P(4,1,1). 12. Find the local maximum and minimum values and saddle point(s) of the function f(x,y) = -x4 + 4xy – 2y² + 1. %3D 13. Find the maximum value of the function f(x,y) = 6 –4x2 - y? subject to the constraint 4x + y = 5.
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