<solutions divisional="hint answer solution" admit="odd">
<title>Hints and Answers to Selected Odd Exercises</title>
</solutions>
Appendix B Hints and Answers to Selected Odd Exercises
View Source for solutions
II Algebra (and Runestone)
3 Runestone Testing
3.8 True/False Exercises
3.8.1. True/False.
Hint.
View Source for hint
<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>
\(P_n\text{,}\) the vector space of polynomials with degree at most \(n\text{,}\) has dimension \(n+1\) by Theorem 1.2.16. [Cross-reference is just a demo, content is not relevant.] What happens if we relax the defintion and remove the parameter \(n\text{?}\)
3.9 Multiple Choice Exercises
3.9.1. Multiple-Choice, Not Randomized, One Answer.
3.9.3. Multiple-Choice, Not Randomized, Multiple Answers.
3.9.5. Multiple-Choice, Randomized, One Answer but with Checkboxes.
3.9.7. Mathematical Multiple-Choice, Not Randomized, Multiple Answers.
Hint.
View Source for hint
<hint>
<p>
You can take a derivative on any one of the choices to see if it is correct or not,
rather than using techniques of integration to find
<em>a single</em> correct answer.
</p>
</hint>
You can take a derivative on any one of the choices to see if it is correct or not, rather than using techniques of integration to find a single correct answer.
3.10 Parsons Exercises
3.10.1. Parsons Problem, Mathematical Proof.
3.12 Matching Exercises
3.12.3. Cardsort Problem, Linear Algebra.
3.13 Clickable Area Exercises
3.13.3. Clickable Areas, Text in a Table.
3.18 Fill-In Exercises
3.18.11. Fill-In, Dynamic Math with Formulas as Answers.
3.20 Exercises that are Timed
Timed Exercises
3.20.1. True/False.
Hint.
View Source for hint
<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>
\(P_n\text{,}\) the vector space of polynomials with degree at most \(n\text{,}\) has dimension \(n+1\) by Theorem 1.2.16. [Cross-reference is just a demo, content is not relevant.] What happens if we relax the defintion and remove the parameter \(n\text{?}\)
