 and $m$? Similar to first-semester calculus, since we have two
    functions nested inside of each other, we'll just need to apply
    the chain rule twice. Our goal is to find $d\vec F/dt$. Try to
    do this problem without looking at the steps below.

    <ol>
      <li>Compute $D\vec F(u,v)$, $D\vec G(x,y,z)$, and $D\vec
      r(t)$.</li>

      <li>Use the chain rule (matrix multiplication) to find the
      derivative of $\vec F$ with respect to $t$. What size of
      matrix should we expect for the