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\textbf{Math 126A: Calculus II}
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\textbf{Quiz 1}\quad \textsl{Aug. 31, 1999}

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1. In the plot below you will find the graph of the function $f(x) =
x + x^3$ together with the graph of $y=x$ for $x \ge 0$.

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\textsl{a)} On this plot, graph the inverse function $f^{-1}(x)$.

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\textsl{b)}  Calculate $(f^{-1})'(2)$.

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2. Evaluate $\int_1^e \frac{1}{x\sqrt{\ln x}}\,dx$.
(Be sure to show all your work.)
 
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