Chapter 11.1, Problem 4QCE

Let S be the graph of $x^2+z^2+6z=16\text{in}\text{3-space}\text{.}$

(a) The intersection of S with the xz-plane is a circle with center $\text{\_\_\_\_\_\_\_\_}$ and radius $\text{\_\_\_\_\_\_\_\_}$ .

(b) The interest of S with the xy-plane is two lines, $x=\text{\_\_\_\_\_\_\_\_ and }x=\text{\_\_\_\_\_\_\_}\text{.}$

(c) The intersection of S with the yz-plane is two lines, $z=\text{\_\_\_\_\_\_\_\_ and }z=\text{\_\_\_\_\_\_\_}\text{.}$