Exercises 5.29 Timed Chapter Exam

<exercises xml:id="chapter-exam" label="chapter-exam" time-limit="15" pause="yes">
  <title>Timed Chapter Exam</title>

  <introduction>
    <p>
      This is an <tag>exercises</tag> division, as a peer of the
      <tag>section</tag> in this <tag>chapter</tag> of a <tag>book</tag>. It
      is also setup as a Runestone timed exam. So it is an example of how you
      might have a per-chapter exam. This contrasts with an earlier timed exam
      which is constructed as a per-section exam (
      <xref ref="timing-exercises"/> ). The exercises are the same here, but
      in a different order. As a test, this exam is <q>pauseable</q> and has a
      15 minute time limit.
    </p>
  </introduction>

  <exercise label="multiple-choice-not-randomized-timed-two">
    <title>Multiple-Choice, Not Randomized, One Answer</title>

    <idx>stop signs</idx>
    <statement>
      <p>
        What color is a stop sign?
      </p>
    </statement>

    <choices>
      <choice>
        <statement>
          <p>
            Green
          </p>
        </statement>

        <feedback>
          <p>
            Green means <q>go!</q>.
          </p>
        </feedback>
      </choice>

      <choice correct="yes">
        <statement>
          <p>
            Red
          </p>
        </statement>

        <feedback>
          <p>
            Red is universally used for prohibited activities or serious
            warnings.
          </p>
        </feedback>
      </choice>

      <choice>
        <statement>
          <p>
            White
          </p>
        </statement>

        <feedback>
          <p>
            White might be hard to see.
          </p>
        </feedback>
      </choice>
    </choices>

    <hint>
      <p>
        What did you see last time you went driving?
      </p>
    </hint>

    <hint>
      <p>
        Maybe go out for a drive?
      </p>
    </hint>
  </exercise>

  <exercise label="vector-space-dimension-timed-two">
    <title>True/False</title>

    <idx>vector space</idx>
    <statement correct="no">
      <p>
        Every vector space has finite dimension.
      </p>
    </statement>

    <feedback>
      <p>
        The vector space of all polynomials with finite degree has a basis,
        <m>B = \{1,x,x^2,x^3,\dots\}</m>, which is infinte.
      </p>
    </feedback>

    <hint>
      <p>
        <m>P_n</m>, the vector space of polynomials with degree at most
        <m>n</m>, has dimension <m>n+1</m> by
        <xref ref="theorem-exponent-laws"/>. [Cross-reference is just a demo,
        content is not relevant.] What happens if we relax the defintion and
        remove the parameter <m>n</m>?
      </p>
    </hint>
  </exercise>
</exercises>