Chapter 4 Section 4

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

Notes

• Notes

Linguistic Mapping Exercises

• Linguistic Mapping Exercises PDF

Knowledge Checks

1. Determine the equation of the line that is tangent to the ellipse \(E\) at the point \((8,12)\), where \(E\) is the ellipse that is given by the equation \[\frac{(x+2)^2}{25}+\frac{(y-4)^2}{16}=8.\]
2. The line tangent to a quadratic polynomial \(f\) at \((2,5)\) is given by \[L(x)=7(x-2)+5.\] Determine the line tangent to \(f^{-1}\) at \((5,2).\)
3. Find the the equation of the line \(L\) tangent to \(f(x)=\sqrt{x}\) at \((625,25).\)

• Knowledge Checks PDF
• Knowledge Checks Solutions

Remember, do the knowledge checks before checking the solutions.

Practice Problems

• Practice Problems

Return

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