1. = (a) Sketch the graph of the function f(x, y) = x2 + (y – 1)2 – 2, and describe this surface. (Note: Your sketch mus

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1 A Sketch The Graph Of The Function F X Y X2 Y 1 2 2 And Describe This Surface Note Your Sketch Mus 1 (50.24 KiB) Viewed 29 times

1. = (a) Sketch the graph of the function f(x, y) = x2 + (y – 1)2 – 2, and describe this surface. (Note: Your sketch must be drawn by hand and not computer generated. Your description should include sufficient detail for someone to uniquely identify the surface.) (b) Let 1-y + 2 g(x,y) 2 + y where x and y are real variables. (i) Find the natural domain D of g, and compute the corresponding range of g. Justify your answers. (ii) Sketch (by hand), on a single xy-plane, the level curves of g(x,y) of heights -1, 2 0, and z = 1. Clearly label the three level curves on your sketch. 2 =