Moderate# Satellite Path: Finding Velocity Using Parametric Vectors

APCALC-7AEFU$

A satellite in space follows a bizarre path given parametrically by:

$x(t)={ te }^{ t }$

$y(t)={ e }^{ 3t }$

...where $x$ and $y$ are measured in miles and $t$ is measured in seconds.

What is its velocity vector at $t=7$s?