8. -2 points SEssCalcET1 11.1.AE.08 My Notes Ask EXAMPLE 11 Sketch the level curves of the function fork 0, 0.4, 0.7, 1 g(x, y) = V 1-r-r SOLUTION The level curves are This is a family of concentric circles with center (0, 0) and radius The cases k = 0, 04, 07, 1 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
Show transcribed image text 8. -2 points SEssCalcET1 11.1.AE.08 My Notes Ask EXAMPLE 11 Sketch the level curves of the function fork 0, 0.4, 0.7, 1 g(x, y) = V 1-r-r SOLUTION The level curves are This is a family of concentric circles with center (0, 0) and radius The cases k = 0, 04, 07, 1 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