 what you have discovered with the class.
    </div>
    Suppose you are constructing a cube whose side length should be
    $s=2$ units. The manufacturing process is not exact, but
    instead creates a cube with side lengths $s=2+ds$ units. (You
    should assume that all sides are still the same, so any error
    on one side is replicated on all. We have to assume this for
    now, but before the semester ends we'll be able to do this with
    high dimensional calculus.)

    <p>Suppose that the machine 