If you add the terms ax^2+bxy+cy^2 to the function L(x,y) = 1 - 0.5y, how would...

If you add the terms ax^2+bxy+cy^2 to the function L(x,y) = 1 - 0.5y, how would this affect the derivatives of L at (0,0)? What a,b and c you would pick to make those derivatives match the derivatives of the f(x,y) = sqrt(x**2+1-x*y-y) at (0,0). Define this new L(x,y).

Expert Solution

ANSWER:-

Given that

the terms ax^2+bxy+cy^2

the function L(x,y) = 1 - 0.5y

the derivatives of L at (0,0)

Colby Messinger answered 7 months ago

a) If you add the terms ax^2+bxy+cy^2 to the function L(x,y) = 1 - 0.5y, how...

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