make pdf file generation work

This commit is contained in:
jverzani
2022-10-10 14:28:05 -04:00
parent a0b913eed8
commit a9ca131870
59 changed files with 884 additions and 1330 deletions

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@@ -88,14 +88,14 @@ Though not continuous, $f(x)$ is integrable as it contains only jumps. The integ
What is the average value of the function $e^{-x}$ between $0$ and $\log(2)$?
$$
\begin{align*}
\text{average} = \frac{1}{\log(2) - 0} \int_0^{\log(2)} e^{-x} dx\\
&= \frac{1}{\log(2)} (-e^{-x}) \big|_0^{\log(2)}\\
&= -\frac{1}{\log(2)} (\frac{1}{2} - 1)\\
&= \frac{1}{2\log(2)}.
\end{align*}
$$
Visualizing, we have