Chapter 2 Section 2

\[ \definecolor{ucrblue}{rgb}{0.0627,0.3843,0.6039} \definecolor{ucrgold}{rgb}{0.9686,0.6941,0.2824} \definecolor{ucrred}{rgb}{0.8941,0,0.1686} \definecolor{ucrgreen}{rgb}{0.4706,0.7451,0.1255} \definecolor{ucraccent}{rgb}{1.0000,0.9569,0.8392} \DeclareMathOperator*{\LO}{O} \DeclareMathOperator*{\Lo}{o} \DeclareMathOperator*{\Recip}{Recip} \DeclareMathOperator*{\abs}{abs} \DeclareMathOperator{\pow}{pow} \]

Notes

• Notes

Linguistic Mapping Exercises

• Linguistic Mapping Exercises PDF

Knowledge Checks

1. Take \(V=\langle -2,6\rangle\). Calculate \(-3V\) and \(\tfrac{1}{2}V\).
2. Take \(V=\langle -2,6\rangle\). Calculate the length of \(V\), \(-3V\) and \(\frac{1}{2}V\).
3. Take \(V=\langle -2,6\rangle\). Write its polar form.
4. Find the equation of the circle of radius \(3\) centered at \((-1,4).\)
5. Find the projection of \((-1,4)\) onto the unit circle.
6. Write \(g(x)=-2(x-1)^2+1\) as a composite function using \(\text{pow}_2\). Use a graphing tool to verify your answer.
7. Write \(g(x)=3(5x+1)^3\) as a composite function using \(\text{pow}_3\). Use a graphing tool to verify your answer.

• Knowledge Checks PDF
• Knowledge Checks Solutions

Remember, do the knowledge checks before checking the solutions.

Practice Problems

• Practice Problems

Return

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