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Derivatives and Integrals An Annotated Discourse

Exercises 41 Exercise Section, Structured

View Source for exercises
<exercises label="exercises-structured">

<title>Exercise Section, Structured</title>

<introduction>

  <p>
    A collection of exercises, in a top-level <tag>exercises</tag> division, structured with <tag>subexercises</tag>.
  </p>

</introduction>

<subexercises>

<title>Easy Exercises</title>

<exercise>

  <title>Arithmetic</title>

  <statement>

    <p>
      Compute <m>3+4</m>.
    </p>

  </statement>

  <answer>

    <p>

      <m>7</m>

    </p>

  </answer>

</exercise>

<exercise>

  <title>Trigonometry</title>

  <statement>

    <p>
      Compute <m>\sin(\pi/4)</m>.
    </p>

  </statement>

</exercise>

</subexercises> <subexercises xml:id="hard-subexercises">

<title>Hard Problems</title>

<exercise>

  <title>Number Theory</title>

  <statement>

    <p>
      Prove Fermat's Last Theorem.
    </p>

  </statement>

</exercise>

<exercise>

  <title>Millenial</title>

  <statement>

    <p>
      Find general solutions to the Navier-Stokes equation.
    </p>

  </statement>

</exercise>

</subexercises> <subexercises>

<title>With an Exercise Group</title>

<exercisegroup>

<introduction>

  <p>
    This is an exercise group, and this is its introduction.
  </p>

</introduction>

<exercise>

  <title>One</title>

  <statement>

    <p>

      <m>6-5</m>

    </p>

  </statement>

  <hint>

    <p>
      Subtract.
    </p>

  </hint>

</exercise>

<exercise>

  <title>Two</title>

  <statement>

    <p>

      <m>1+1</m>

    </p>

  </statement>

</exercise>

</exercisegroup>

<exercise>

  <title>Outside exercisegroup, inside subexercises</title>

  <statement>

    <p>
      6+5
    </p>

  </statement>

</exercise>

</subexercises> </exercises>
A collection of exercises, in a top-level <exercises> division, structured with <subexercises>.

Easy Exercises

View Source for subexercises
<subexercises>

<title>Easy Exercises</title>

<exercise>

  <title>Arithmetic</title>

  <statement>

    <p>
      Compute <m>3+4</m>.
    </p>

  </statement>

  <answer>

    <p>

      <m>7</m>

    </p>

  </answer>

</exercise>

<exercise>

  <title>Trigonometry</title>

  <statement>

    <p>
      Compute <m>\sin(\pi/4)</m>.
    </p>

  </statement>

</exercise>

</subexercises>

1. Arithmetic.

View Source for exercise
<exercise>

  <title>Arithmetic</title>

  <statement>

    <p>
      Compute <m>3+4</m>.
    </p>

  </statement>

  <answer>

    <p>

      <m>7</m>

    </p>

  </answer>

</exercise>
Compute \(3+4\text{.}\)
Answer.
View Source for answer
<answer>

  <p>

    <m>7</m>

  </p>

</answer>
\(7\)

2. Trigonometry.

View Source for exercise
<exercise>

  <title>Trigonometry</title>

  <statement>

    <p>
      Compute <m>\sin(\pi/4)</m>.
    </p>

  </statement>

</exercise>
Compute \(\sin(\pi/4)\text{.}\)

Hard Problems

View Source for subexercises
<subexercises xml:id="hard-subexercises">

                                                                                                                                                                                                                                                                  <title>Hard Problems</title>

                                                                                                                                                                                                                                                                  <exercise>

                                                                                                                                                                                                                                                                    <title>Number Theory</title>

                                                                                                                                                                                                                                                                    <statement>

                                                                                                                                                                                                                                                                      <p>
                                                                                                                                                                                                                                                                        Prove Fermat's Last Theorem.
                                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                                    </statement>

                                                                                                                                                                                                                                                                  </exercise>

                                                                                                                                                                                                                                                                  <exercise>

                                                                                                                                                                                                                                                                    <title>Millenial</title>

                                                                                                                                                                                                                                                                    <statement>

                                                                                                                                                                                                                                                                      <p>
                                                                                                                                                                                                                                                                        Find general solutions to the Navier-Stokes equation.
                                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                                    </statement>

                                                                                                                                                                                                                                                                  </exercise>

                                                                                                                                                                                                                                                                  </subexercises>

3. Number Theory.

View Source for exercise
<exercise>

  <title>Number Theory</title>

  <statement>

    <p>
      Prove Fermat's Last Theorem.
    </p>

  </statement>

</exercise>
Prove Fermat’s Last Theorem.

4. Millenial.

View Source for exercise
<exercise>

  <title>Millenial</title>

  <statement>

    <p>
      Find general solutions to the Navier-Stokes equation.
    </p>

  </statement>

</exercise>
Find general solutions to the Navier-Stokes equation.

With an Exercise Group

View Source for subexercises
<subexercises>

                                                                                                                                                                                                                                                                  <title>With an Exercise Group</title>

                                                                                                                                                                                                                                                                  <exercisegroup>

                                                                                                                                                                                                                                                                  <introduction>

                                                                                                                                                                                                                                                                    <p>
                                                                                                                                                                                                                                                                      This is an exercise group, and this is its introduction.
                                                                                                                                                                                                                                                                    </p>

                                                                                                                                                                                                                                                                  </introduction>

                                                                                                                                                                                                                                                                  <exercise>

                                                                                                                                                                                                                                                                    <title>One</title>

                                                                                                                                                                                                                                                                    <statement>

                                                                                                                                                                                                                                                                      <p>

                                                                                                                                                                                                                                                                        <m>6-5</m>

                                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                                    </statement>

                                                                                                                                                                                                                                                                    <hint>

                                                                                                                                                                                                                                                                      <p>
                                                                                                                                                                                                                                                                        Subtract.
                                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                                    </hint>

                                                                                                                                                                                                                                                                  </exercise>

                                                                                                                                                                                                                                                                  <exercise>

                                                                                                                                                                                                                                                                    <title>Two</title>

                                                                                                                                                                                                                                                                    <statement>

                                                                                                                                                                                                                                                                      <p>

                                                                                                                                                                                                                                                                        <m>1+1</m>

                                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                                    </statement>

                                                                                                                                                                                                                                                                  </exercise>

                                                                                                                                                                                                                                                                  </exercisegroup>

                                                                                                                                                                                                                                                                  <exercise>

                                                                                                                                                                                                                                                                    <title>Outside exercisegroup, inside subexercises</title>

                                                                                                                                                                                                                                                                    <statement>

                                                                                                                                                                                                                                                                      <p>
                                                                                                                                                                                                                                                                        6+5
                                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                                    </statement>

                                                                                                                                                                                                                                                                  </exercise>

                                                                                                                                                                                                                                                                  </subexercises>

Exercise Group.

View Source for exercisegroup
<exercisegroup>

<introduction>

  <p>
    This is an exercise group, and this is its introduction.
  </p>

</introduction>

<exercise>

  <title>One</title>

  <statement>

    <p>

      <m>6-5</m>

    </p>

  </statement>

  <hint>

    <p>
      Subtract.
    </p>

  </hint>

</exercise>

<exercise>

  <title>Two</title>

  <statement>

    <p>

      <m>1+1</m>

    </p>

  </statement>

</exercise>

</exercisegroup>
This is an exercise group, and this is its introduction.
5. One.
View Source for exercise
<exercise>

  <title>One</title>

  <statement>

    <p>

      <m>6-5</m>

    </p>

  </statement>

  <hint>

    <p>
      Subtract.
    </p>

  </hint>

</exercise>
\(6-5\)
Hint.
View Source for hint
<hint>

  <p>
    Subtract.
  </p>

</hint>
Subtract.
6. Two.
View Source for exercise
<exercise>

  <title>Two</title>

  <statement>

    <p>

      <m>1+1</m>

    </p>

  </statement>

</exercise>
\(1+1\)

7. Outside exercisegroup, inside subexercises.

View Source for exercise
<exercise>

  <title>Outside exercisegroup, inside subexercises</title>

  <statement>

    <p>
      6+5
    </p>

  </statement>

</exercise>