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Double Quiz 11  (Show all work)

Find the following for $f(x) = $~~ (if 
they 
exist; if they don't exist, state so).  Use this information to graph $f$.


Note $f'(x) =$~~~ and $f''(x) = $

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[2] 1a.) relative maximum(s) occur at $x = \underline{\hskip 1.5in}$



[3] 1b.)  The absolute maximum of $f$ on the interval [0, 5] is $\underline{\hskip .5in}$ and 
occurs at $x = \underline{\hskip 1in}$.

[3] 1c.)  The absolute maximum of $f$ is $\underline{\hskip .5in}$ and 
occurs at $x = \underline{\hskip 1in}$.



[2] 1d.)  $f$ is increasing on the intervals $\underline{\hskip 1.5in}$



[2] 1e.)  $f$ is concave up on the intervals $\underline{\hskip 1.5in}$


[3] 1f.)  Equation(s) of vertical asymptote(s)$\underline{\hskip 1.5in}$

[3] 1g.)  Equation(s) of horizontal  asymptote(s)$\underline{\hskip 1.5in}$


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[7] 1h.)  Graph $f$
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\includegraphics[width=48ex]{grapht}

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[10]~ 2.)  related rates  
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[10]~ 3.) integration by substitution

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