Given a function f(x,y) = x* + 2y+ 8xy - 7 The critical points of f(x,y) occur at the points P(0 , 0) , Q(2 , – 4) , R(-2,4) Determine whether the function f(x,y) has a Local Maximum , a Local Minimum or a Saddle point at the critical points.P, Q and R. The function f(x,y) has : at P, at Q and at R Instructions If the Function has a Local Maximum , Enter 1 in the Answer Box If the Function has a Local Minimum , Enter 2 in the Answer Box If the Function has a Saddle Point , Enter 3 in the Answer Box.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given a function f(x,y) = x* + 2y + 8xy - 7
The critical points of f(x,y) occur at the points P(0 , 0) , Q(2 , – 4), R(-2,4)
Determine whether the function f(x,y) has a Local Maximum , a Local Minimum
or a Saddle point at the critical points.P, Q and R.
The function f(x,y) has :
at P,
at Q and
at R
Instructions
If the Function has a Local Maximum , Enter 1 in the Answer Box
If the Function has a Local Minimum , Enter 2 in the Answer Box
If the Function has a Saddle Point , Enter 3 in the Answer Box.
Transcribed Image Text:Given a function f(x,y) = x* + 2y + 8xy - 7 The critical points of f(x,y) occur at the points P(0 , 0) , Q(2 , – 4), R(-2,4) Determine whether the function f(x,y) has a Local Maximum , a Local Minimum or a Saddle point at the critical points.P, Q and R. The function f(x,y) has : at P, at Q and at R Instructions If the Function has a Local Maximum , Enter 1 in the Answer Box If the Function has a Local Minimum , Enter 2 in the Answer Box If the Function has a Saddle Point , Enter 3 in the Answer Box.
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