## Function

f(z) = zin cylindrical coordinates

## Domain

zis an element of the set of allReal numbers

## Graphs

## Derivative

With respect toz: 1With this derivative, there is no value that will make 1 = 0, therefore there are no critical points. The graph shows that there is not a minimum or maximum since the graph will continue to grow to positive and negative infinity.

## Integral

With respect toz:(^{1}/_{2}) z^{2}

## Interesting Features

When working with this function, there are many different items to look at. The first item is that the plot is done in cylindrical coordinates. The radius of the circle plotted is the same as the height. This causes the growing cone as shown in the graph.

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