DATA605 Discussion 15

In Exercises 7 – 14, give the domain and range of the multivariable function.

12.1 Execises 13 f(x,y)=√(9−x^2−y2)

Since we are taking the square root we need the result to be ge to 0

                         0≤9−x^2−y^2
                          x^2+y^2≤9
                      D={(x,y)|x^2+y^2≤9}

So the max output is 3 (when x and y = 0)

                           R:[0,3]