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Merge pull request #26 from ODAncona/s5
S5_smallfix
2 parents 098bf66 + ad84d4e commit e918206

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corriges/serie5.pdf

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src/serie5/exo3.tex

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&= \displaystyle\int_{10}^{20}{u \cdot \frac{c}{u^2}}du \\
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&= \displaystyle\int_{10}^{20}{\frac{c}{u}}du \\
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&= c\cdot \ln{u}\bigg\vert_{10}^{20} \\
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&= c (\ln{20} - \ln{10}) \\
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&= c \cdot (\ln{20} - \ln{10}) \\
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&= 20 \cdot \ln{2}
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\end{align*}
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\end{subexo}

src/serie5/exo4.tex

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\begin{align*}
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P(X > 35.5) &= 1 - P(X \leq 35.5) \\
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&= 1 - F_x(35.5) \\
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&= 1 - e^{-e^{-\frac{x-7.98}{25.5}}}\\
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&= 1 - e^{-e^{-\frac{x-25.5}{7.98}}}\\
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&\approx 0.248
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\end{align*}
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\end{subexo}

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