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TST/06_Prolongement_geometrique_vers_exponentiel/1E_prolongement.tex index 5bba213..f5d6905 100644 --- a/TST/06_Prolongement_geometrique_vers_exponentiel/1E.tex +++ b/TST/06_Prolongement_geometrique_vers_exponentiel/1E_prolongement.tex @@ -2,7 +2,7 @@ \usepackage{myXsim} \author{Benjamin Bertrand} -\title{Prolongement géométrique vers exponentiel - Cours} +\title{Prolongement géométrique vers exponentiel - Exercices} \date{octobre 2020} \DeclareExerciseCollection{banque} @@ -15,4 +15,4 @@ \input{exercises.tex} \printcollection{banque} -\end{document} \ No newline at end of file +\end{document} diff --git a/TST/06_Prolongement_geometrique_vers_exponentiel/exercises.tex b/TST/06_Prolongement_geometrique_vers_exponentiel/exercises.tex index b274b7b..f03680f 100644 --- a/TST/06_Prolongement_geometrique_vers_exponentiel/exercises.tex +++ b/TST/06_Prolongement_geometrique_vers_exponentiel/exercises.tex @@ -1,10 +1,30 @@ \collectexercises{banque} -\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={Prolongement géométrique vers exponentiel}, tags={exponentiel, suite, programmation}] - <++> +\begin{exercise}[subtitle={Isolation phonique}, step={1}, origin={???}, topics={Prolongement géométrique vers exponentiel}, tags={exponentiel, suite, programmation}] + L'unité d'intensité du son sera en décibel (dB). Une source sonore émet un son. + + Pour éviter les nuisances, on dispose d'un isolant phonique qui absorbe 10\% de l'intensité du son par centimètre d'épaisseur. + + On mesure qu'après 2cm d'isolant l'intensité sonore est de 100dB. + + \begin{center} + Comment calculer l'intensité sonore restante après n'importe quelle épaisseur de cet isolant phonique? + \end{center} + + \begin{enumerate} + \item Intensité sonore après 3cm d'isolant phonique? 4cm? + \item Intensité sonore sans isolation phonique? Avec seulement 1cm? + \item Intensité sonore avec 2,5cm d'isolant phonique? + \end{enumerate} \end{exercise} -\begin{solution} - <++> -\end{solution} +\begin{exercise}[subtitle={Croissance d'une entreprise}, step={1}, origin={Création}, topics={Prolongement géométrique vers exponentiel}, tags={exponentiel, suite, programmation}] + Une entreprise a une croissance exponentielle. Sa richesse est multipliée par 1,5 chaque année. En 2020, elle valait \np{1 000 000} d'euro. -\collectexercisesstop{banque} \ No newline at end of file + \begin{enumerate} + \item Richesse en 2021? 2022? 2030? + \item Richesse en 2019? 2018? 2010? + \item Richesse au milieu de l'année 2020? Au milieu de l'année 2019? + \end{enumerate} +\end{exercise} + +\collectexercisesstop{banque}