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andy
2026-02-12 09:53:27 -05:00
parent a9650f4d10
commit 1d067843ba
3 changed files with 3 additions and 3 deletions
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course/index.html
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@@ -2,7 +2,7 @@
<html> <html>
<!--********************************************--> <!--********************************************-->
<!--* Generated from PreTeXt source *--> <!--* Generated from PreTeXt source *-->
<!--* on 2026-02-12T07:12:12-05:00 *--> <!--* on 2026-02-12T09:52:37-05:00 *-->
<!--* A recent stable commit (2022-07-01): *--> <!--* A recent stable commit (2022-07-01): *-->
<!--* 6c761d3dba23af92cba35001c852aac04ae99a5f *--> <!--* 6c761d3dba23af92cba35001c852aac04ae99a5f *-->
<!--* *--> <!--* *-->
course/quiz-02-printable.html
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@@ -392,7 +392,7 @@ f(x) = F'(x) = 4x - 4x^3.
\E(X) \amp = \int_0^1 x f(x)\ dx \\ \E(X) \amp = \int_0^1 x f(x)\ dx \\
\amp = \int_0^1 x (4x - 4x^3)\ dx \\ \amp = \int_0^1 x (4x - 4x^3)\ dx \\
\amp = \int_0^1 4x^2 - 4x^4\ dx \\ \amp = \int_0^1 4x^2 - 4x^4\ dx \\
\amp = \frac{4x^2}{3} - \frac{4x^5}{5}\bigg|_0^1 \\ \amp = \frac{4x^3}{3} - \frac{4x^5}{5}\bigg|_0^1 \\
\amp = \left(\frac{4}{3} - \frac{4}{5}\right) - (0) \\ \amp = \left(\frac{4}{3} - \frac{4}{5}\right) - (0) \\
\amp = \frac{8}{15} \approx 0.533. \amp = \frac{8}{15} \approx 0.533.
\end{align*} \end{align*}
course/quiz-02.html
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@@ -377,7 +377,7 @@ f(x) = F'(x) = 4x - 4x^3.
\E(X) \amp = \int_0^1 x f(x)\ dx \\ \E(X) \amp = \int_0^1 x f(x)\ dx \\
\amp = \int_0^1 x (4x - 4x^3)\ dx \\ \amp = \int_0^1 x (4x - 4x^3)\ dx \\
\amp = \int_0^1 4x^2 - 4x^4\ dx \\ \amp = \int_0^1 4x^2 - 4x^4\ dx \\
\amp = \frac{4x^2}{3} - \frac{4x^5}{5}\bigg|_0^1 \\ \amp = \frac{4x^3}{3} - \frac{4x^5}{5}\bigg|_0^1 \\
\amp = \left(\frac{4}{3} - \frac{4}{5}\right) - (0) \\ \amp = \left(\frac{4}{3} - \frac{4}{5}\right) - (0) \\
\amp = \frac{8}{15} \approx 0.533. \amp = \frac{8}{15} \approx 0.533.
\end{align*} \end{align*}