Exercises 5.20 Hodgepodge

<exercises xml:id="runestone-hodgepodge">
  <title>Hodgepodge</title>

  <exercise label="multifile-program-2">
    <statement>
      <p>
        This is a test of accessing program resources across pages by relying
        on what is in the database.
      </p>
    </statement>

    <program interactive="activecode" add-files="addh-v1 addcpp-v1" compile-also="addcpp-v1" language="cpp">
              
              #include "add.h"
              #include &lt;iostream&gt;
              using namespace std;
              int main() {
                  int a = 1;
                  int b = 2;
                  cout &lt;&lt; "The sum of " &lt;&lt; a &lt;&lt; " and " &lt;&lt; b &lt;&lt; " is " &lt;&lt; add(a, b) &lt;&lt; endl;
              }
    </program>
  </exercise>

  <exercise label="true-false-exercise-with-tasks-in-exercises">
    <title>With Tasks in an Exercises Division</title>

    <introduction>
      <p>
        Structured with task, recycled earlier from earlier, to make sure that
        the tasks do not get counted as Runestone reading activities (since
        they are inside an <tag>exercise</tag> inside of an
        <tag>exercises</tag> division.
      </p>
    </introduction>

    <task label="true-false-task-in-exercises">
      <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>
    </task>

    <task label="short-answer-task-in-exercises">
      <statement>
        <p>
          Explain your reasoning in the previous question.
        </p>
      </statement>
      <response/>
    </task>

    <conclusion>
      <p>
        A sequence of <tag>task</tag> can have a <tag>conclusion</tag>, like
        this one, even if they do not see much use in practice.
      </p>
    </conclusion>
  </exercise>
</exercises>