Question

Find the range of the function f defined by f(x,y)=10-x²-y² for all (x,y) for which x²+y²< and =9.sketch two of its level curves

Answer 1

Answer:

The next topic that we should look at is that of level curves or contour curves. The level curves of the function z=f(x,y) z = f ( x , y ) are two dimensional curves we get by setting z=k , where k is any number. So the equations of the level curves are f(x,y)=k f ( x , y ) = k .