ou were standing at the polar point $(4,\pi/2)$ and
      someone said, &ldquo;Hey you, keep your angle constant, but
      increase your radius,&rdquo; then which direction would
      you move? What if someone said, &ldquo;Hey you, keep your
      radius constant, but increase your angle&rdquo;, which
      direction would you move?</li>

      <li>Now change the polar point to $(r,\theta) = (2,3\pi/4)$.
      Try, without doing any computations, to repeat part 2 (at the
      point draw both partial deri