Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 2x2 - 2y2

A. Domain: all points in the xy-plane; range: all real numbers; level curves: hyperbolas 
B. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses  
C. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: ellipses 
D. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: hyperbolas 


Answer: A

Mathematics

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