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For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y). -> Sketch the...

For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y).

-> Sketch the domain, then separately sketch three distinct level curves.

-> Find the linearization of f(x,y) at the point (x,y)=(4,18).

-> Use this linearization to determine the approximate value of the function at the point (3.7,17.7).

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