Chapter 14.1, Problem 30E

a)

To determine

Find the domain of the function $f\left(x,y\right)=\ln \left(9-x^2-y^2\right)$.

b)

To determine

Find the range of the function $f\left(x,y\right)=\ln \left(9-x^2-y^2\right)$.

c)

To determine

Explain the level curves of the function $f\left(x,y\right)=\ln \left(9-x^2-y^2\right)$.

d)

To determine

Find the boundary of the domain of the function $f\left(x,y\right)=\ln \left(9-x^2-y^2\right)$.

e)

To determine

Find whether the function $f\left(x,y\right)=\ln \left(9-x^2-y^2\right)$ is an open region, a closed region, or neither.

f)

To determine

Choose whether the domain of the function $f\left(x,y\right)=\ln \left(9-x^2-y^2\right)$ is bounded or unbounded.