$.$

$[/13$ Points$]$Details

My Notes

Ask Your Teacher

Practice Another

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise

Evaluate the integral, where E is enclosed by the paraboloid z $=9+$ x$2+$ y$2,$ the cylinder x$2+$ y$2=5,$ and the xy$-$plane. Use cylindrical coordinates.

$$ez dVE

Step $1$

In cylindrical coordinates, the paraboloid

z $=9+$ x$2+$ y$2$

has the equation

z $=$

and the cylinder

x$2+$ y$2=5$

has the equation r $=$

$.$