Fd and sketch the domain of the function fx y 4-x2-y212

Question

1. Find and sketch the domain of the function f(x; y) = (4-x²-y²)^(1/2) + (1-x)^(1/2).

2. Draw a contour map of the function f(x; y) = y sec x showing several level curves.

3. Sketch both a contour map and a graph of the function f(x; y) = (4x²+y²)^(1/2).