Chapter 14.1, Problem 80E

Graph the functions

$f(x,y)=\sqrt{x^2+y^2}$

$f(x,y)=e^{\sqrt{x^2+y^2}}$

$f(x,y)=\ln \sqrt{x^2+y^2}$

$f(x,y)=\sin \left(\sqrt{x^2+y^2}\right)$

and $f(x,y)=\frac{1}{\sqrt{x^2+y^2}}$

In general, if g is a function of one variable, bow is the graph of

$f(x,y)=g\left(\sqrt{x^2+y^2}\right)$

obtained from the graph of g?