## Function

[x(t) = p cos(t), y(t) = q sin(t), z(t) = rt]

## Domain

tis an element of the set of allReal numbers

## Graphs

## Derivative

With respect tot: [-p sin(t), q cos(t), r]With this derivative, the only place that can have a minimum or maximum is where all the parts of the derivative are 0. Since

ris some non-zero constant, there are no critical points.

## Integral

With respect tot: [p sin(t), -q cos(t), (]^{1}/_{2})rt^{2}

## Interesting Features

This plot is of a curve. This curve is known as a helix. The helix forms a spring like shape. The function is in parametric form. The

xandyvalues simply form a circle while the last value causes the circles to "rise" as they are formed creating this helix. The values forpandqstretch the circles to ellipses while thervalue stretches the helix up and down.

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