Skip to main content
Logo image

Derivatives and Integrals An Annotated Discourse

Exercises 35 STACK Interactive Questions

View Source for exercises
                                                                                                                                                                                                                                            <exercises xml:id="stack-questions" label="section-stack">

                                                                                                                                                                                                                                            <title>STACK Interactive Questions</title>

                                                                                                                                                                                                                                            <idx>STACK</idx>

                                                                                                                                                                                                                                            <introduction>

                                                                                                                                                                                                                                              <p>
These are interactive exercises provided by the <url href="https://stack-assessment.org/">STACK Assessment</url> system.  In HTML output you will need to ask for a <q>new</q> question to make each question render initially.
                                                                                                                                                                                                                                              </p>

                                                                                                                                                                                                                                            </introduction>

                                                                                                                                                                                                                                            <exercise>

                                                                                                                                                                                                                                              <title>STACK integration question</title>

                                                                                                                                                                                                                                              <introduction>

                                                                                                                                                                                                                                                <p>
An introduction to a test question, providing context within the larger document.
                                                                                                                                                                                                                                                </p>

                                                                                                                                                                                                                                              </introduction>

                                                                                                                                                                                                                                              <stack label="stack-integration" source="stack/01_integration_with_feedback.xml"/>

                                                                                                                                                                                                                                              </exercise>

                                                                                                                                                                                                                                              <exercise>

                                                                                                                                                                                                                                                <title>STACK multiple choice question</title>

                                                                                                                                                                                                                                                <introduction>

                                                                                                                                                                                                                                                  <p>
This is a multiple choice question where multiple answers can (in principle) be correct.
                                                                                                                                                                                                                                                  </p>

                                                                                                                                                                                                                                                </introduction>

                                                                                                                                                                                                                                                <stack label="stack-mcq" source="stack/Checkbox.xml"/>

                                                                                                                                                                                                                                                </exercise>

                                                                                                                                                                                                                                                <exercise>

                                                                                                                                                                                                                                                  <title>STACK matrix input question</title>

                                                                                                                                                                                                                                                  <introduction>

                                                                                                                                                                                                                                                    <p>
This is a question where the input is a matrix.
                                                                                                                                                                                                                                                    </p>

                                                                                                                                                                                                                                                  </introduction>

                                                                                                                                                                                                                                                  <stack label="stack-matrix" source="stack/Matrix.xml"/>

                                                                                                                                                                                                                                                  </exercise>

                                                                                                                                                                                                                                                  <exercise>

                                                                                                                                                                                                                                                    <title>STACK question with generated plot</title>

                                                                                                                                                                                                                                                    <introduction>

                                                                                                                                                                                                                                                      <p>
This is a question that generates a plot that must be rendered in the question text.
                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                    </introduction>

                                                                                                                                                                                                                                                    <stack label="stack-plot" source="stack/basic-plot.xml"/>

                                                                                                                                                                                                                                                    </exercise>

                                                                                                                                                                                                                                                    <exercise>

                                                                                                                                                                                                                                                      <title>STACK question with advanced typesetting and embedded image</title>

                                                                                                                                                                                                                                                      <introduction>

                                                                                                                                                                                                                                                        <p>
This question comes from the <url href="https://stack-assessment.org/CaseStudies/2021/HELM/">HELM project</url>. It features an embedded image in its solution, as well as advanced typesetting and multi-line latex.
                                                                                                                                                                                                                                                        </p>

                                                                                                                                                                                                                                                      </introduction>

                                                                                                                                                                                                                                                      <stack label="stack-typesetting" source="stack/Adding-vectors-in-triangles.xml"/>

                                                                                                                                                                                                                                                      </exercise>

                                                                                                                                                                                                                                                      </exercises>
These are interactive exercises provided by the STACK Assessment system. In HTML output you will need to ask for a β€œnew” question to make each question render initially.

1. STACK integration question.

View Source for exercise
                                                                                                                                                                                                                                            <exercise>

                                                                                                                                                                                                                                              <title>STACK integration question</title>

                                                                                                                                                                                                                                              <introduction>

                                                                                                                                                                                                                                                <p>
An introduction to a test question, providing context within the larger document.
                                                                                                                                                                                                                                                </p>

                                                                                                                                                                                                                                              </introduction>

                                                                                                                                                                                                                                              <stack label="stack-integration" source="stack/01_integration_with_feedback.xml"/>

                                                                                                                                                                                                                                              </exercise>
An introduction to a test question, providing context within the larger document.

2. STACK multiple choice question.

View Source for exercise
                                                                                                                                                                                                                                              <exercise>

                                                                                                                                                                                                                                                <title>STACK multiple choice question</title>

                                                                                                                                                                                                                                                <introduction>

                                                                                                                                                                                                                                                  <p>
This is a multiple choice question where multiple answers can (in principle) be correct.
                                                                                                                                                                                                                                                  </p>

                                                                                                                                                                                                                                                </introduction>

                                                                                                                                                                                                                                                <stack label="stack-mcq" source="stack/Checkbox.xml"/>

                                                                                                                                                                                                                                                </exercise>
This is a multiple choice question where multiple answers can (in principle) be correct.

3. STACK matrix input question.

View Source for exercise
                                                                                                                                                                                                                                                <exercise>

                                                                                                                                                                                                                                                  <title>STACK matrix input question</title>

                                                                                                                                                                                                                                                  <introduction>

                                                                                                                                                                                                                                                    <p>
This is a question where the input is a matrix.
                                                                                                                                                                                                                                                    </p>

                                                                                                                                                                                                                                                  </introduction>

                                                                                                                                                                                                                                                  <stack label="stack-matrix" source="stack/Matrix.xml"/>

                                                                                                                                                                                                                                                  </exercise>
This is a question where the input is a matrix.

4. STACK question with generated plot.

View Source for exercise
                                                                                                                                                                                                                                                  <exercise>

                                                                                                                                                                                                                                                    <title>STACK question with generated plot</title>

                                                                                                                                                                                                                                                    <introduction>

                                                                                                                                                                                                                                                      <p>
This is a question that generates a plot that must be rendered in the question text.
                                                                                                                                                                                                                                                      </p>

                                                                                                                                                                                                                                                    </introduction>

                                                                                                                                                                                                                                                    <stack label="stack-plot" source="stack/basic-plot.xml"/>

                                                                                                                                                                                                                                                    </exercise>
This is a question that generates a plot that must be rendered in the question text.

5. STACK question with advanced typesetting and embedded image.

View Source for exercise
                                                                                                                                                                                                                                                    <exercise>

                                                                                                                                                                                                                                                      <title>STACK question with advanced typesetting and embedded image</title>

                                                                                                                                                                                                                                                      <introduction>

                                                                                                                                                                                                                                                        <p>
This question comes from the <url href="https://stack-assessment.org/CaseStudies/2021/HELM/">HELM project</url>. It features an embedded image in its solution, as well as advanced typesetting and multi-line latex.
                                                                                                                                                                                                                                                        </p>

                                                                                                                                                                                                                                                      </introduction>

                                                                                                                                                                                                                                                      <stack label="stack-typesetting" source="stack/Adding-vectors-in-triangles.xml"/>

                                                                                                                                                                                                                                                      </exercise>
This question comes from the HELM project. It features an embedded image in its solution, as well as advanced typesetting and multi-line latex.