Sketch the level curves of the function for k= 0,3,4,5.
EXAMPLE 11 Sketch the level curves of the function for k 0, 3, 4, 5. g(x, y) = V25-r-r SOLUTION The level curves are Vis-r-r=k This is a family of concentric circles with center (0, 0) and radius The cases k = 0, 3, 4, 5 are shown in the top figure. Try to visualize these level curves lifted up to form a surface and compare with the graph of g (a hemisphere) in the bottom figure. Video Example Tutorial Online Textbook