Please do help me with this sum, especially the Saddle Point part. Thank you so much Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter DNE.) f(x, y) = x3 + y3 − 12x2 + 15y2 + 48x + 75y + 62   Relative maximum of f(x, y) = ___________ at (x, y) = (_____________)   Relative minimum of f(x, y) = ___________ at (x, y) = (______________)   Saddle point of f(x, y) = ____________  at (x, y) = (_______________)   List the critical point for which the Second-Partials Test fails.     (x, y) = (_______________)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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Please do help me with this sum, especially the Saddle Point part. Thank you so much

Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter DNE.)

f(x, y) = x3 + y3 − 12x2 + 15y2 + 48x + 75y + 62
 
Relative maximum of f(x, y) = ___________ at (x, y) = (_____________)
 
Relative minimum of f(x, y) = ___________ at (x, y) = (______________)
 
Saddle point of f(x, y) = ____________  at (x, y) = (_______________)
 
List the critical point for which the Second-Partials Test fails.
   
(x, y) = (_______________)
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