(i) Consider the multivariate function f(x, y, z) 2x + y + z subject to x-y+z...

 

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(i) Consider the multivariate function f(x, y, z) 2x + y + z subject to x-y+z = 1 and r+2y= 1. Find all the extreme values of f. (ii) Find and classify all the critical points of f(x, y)=3+y+3x+6y-1. (i) Consider the multivariate function f(x, y, z) 2x + y + z subject to x-y+z = 1 and r+2y= 1. Find all the extreme values of f. (ii) Find and classify all the critical points of f(x, y)=3+y+3x+6y-1.