Find the domain of the functions defined by the following formulas, and then draw these domains in the xy-plane. Write explicitly if boundaries and corners are included or excluded (write it down, or show it on the picture, for instance, use dashed lines / hollow circles for excluded, solid lines / full circles for included). Explain clearly what you do. Be careful with signs and inequalties. 1. f(x, y) = (1 – xy.)^1/2
2. g(x, y) = (y – 2x^2)^1/2 ln(1 – y).
3. h(x, y) = (x^2 + y^2 – 1)^1/2/(8 – x^2 – y^2 + 2y)^1/2