3. а) Find the local maxima, minima and saddle points of the function f (x, y) = x² + y³ + 2xy. %3D b) Use Lagrange multipliers to find the lowest point (minimum z-value) on the curve which is the intersection of x + y = 1 and z = x² + y?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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how do i solve this problem 

3. а)
Find the local maxima, minima and saddle points of the function
f (x, y) = x² + y³ + 2.xy.
b)
Use Lagrange multipliers to find the lowest point (minimum z-value) on the curve which is the
intersection of x + y = 1 and z =
= x² + y².
Transcribed Image Text:3. а) Find the local maxima, minima and saddle points of the function f (x, y) = x² + y³ + 2.xy. b) Use Lagrange multipliers to find the lowest point (minimum z-value) on the curve which is the intersection of x + y = 1 and z = = x² + y².
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