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\textbf{Math 126: Calculus II}
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\textbf{Quiz 2}\quad \textsl{September 7, 1999}
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1.  Calculate the following, carefully {\bf showing your work} and {\bf
all} important steps.

\textsl{a)} $\frac{d}{dx}(x^x)$.

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\textsl{b)} $\int_0^3 \Big(\frac{1}{2}\Big)^x\,dx$

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2. A colony of bacteria is grown under ideal conditions in the laboratory
so that the population increases exponentially with time. At the end of 2
hours there are 500,000 bacteria. One hour later there are 750,000
bacteria. How many bacteria were present initially?

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