Devoir 2 S02 de généralités des fonctions et trigonométrie
📅 April 19, 2023 | 👁️ Views: 295
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Prof MOSAID & Control 2 -- TCSF-4 & 2h \\
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\textbf{\underline{Exercice 1:(13pts)}}\\
\begin{tabular}{@{}>{\centering\arraybackslash}m{0.05\textwidth}|p{0.92\textwidth}}
4.5 & 1)- determiner le domaine de défnition des fonctions suivantes\\
& \hspace*{0.5cm} $f(x)=2x+|x-3|$ \hspace*{0.2cm};\hspace*{0.2cm}
\hspace*{0.5cm} $g(x)=\frac{x}{x^2-9}$ \hspace*{0.2cm};\hspace*{0.2cm}
\hspace*{0.5cm} $h(x)=\sqrt{x^2-4}$ \hspace*{0.2cm};\hspace*{0.2cm} \\
2 & 2)- est ce que les fonctions suivantes sont égales\\
& \hspace*{0.5cm} $f(x)=x$ \hspace*{0.2cm}et\hspace*{0.2cm} $g(x)=\sqrt{x^2}$ \\
1.5 & 3)- Etudier la parité de la fonction $f(x)=\frac{x}{x^2-1}$ \\
2 & 4)- Soit $f$ une fonction paire \\
& \hspace*{0.5cm} sachant que pour tout $x>0$ \hspace*{0.2cm}: $f(x)=2x+3$ \hspace*{0.2cm}
determiner $f(x)$ pour tout $x<0$ \\
3 & 5)- Determiner les variations de la fonction suivante et dreser son tableau des variations \\
& \hspace*{1cm} $f(x) = \frac{x}{1+x^2}$ \\
\bottomrule
\end{tabular}\\
\textbf{\underline{Exercice 2:(7pts)}}\\
\begin{tabular}{@{}>{\centering\arraybackslash}m{0.05\textwidth}|p{0.92\textwidth}}
3 & 1)- Resoudre en $]-\pi,\pi]$ les équations:
\hspace*{0.2cm} $2sinx+1=0$ \hspace*{0.2cm};\hspace*{0.2cm} $2sinx-\sqrt{2}=0$ \\
3 & 1)- Resoudre en $]-\pi,2\pi]$ l'inéquation:
\hspace*{0.2cm} $2cosx+\sqrt{3}\le 0$ \\
1 & 1)- Resoudre en $\mathbb{R}$ l'équation:
\hspace*{0.2cm} $4sin^{2}x+2(1-\sqrt{2})sinx-\sqrt{2}=0$ \\
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Frequently Asked Questions
What chapters or courses does this exam cover?
This exam covers: عموميات حول الدوال العددية نسخة 2, Généralités sur les fonctions, دراسة وتمثيل الدوال الاعتيادية نسخة 2, دراسة وتمثيل الدوال الاعتيادية, الشلجم و الهذلول, عموميات حول الدوال العددية. It is designed to test understanding of these topics.
How many questions are in this exam?
The exam contains approximately several questions.
Is this exam aligned with the official curriculum?
Yes, it follows the tronc-commun-sciences maths guidelines.
What topics are covered in this course?
The course "Généralités sur les fonctions" covers key concepts of maths for tronc-commun-sciences. Designed to help students master the curriculum.
Is this course suitable for beginners?
Yes, the material is structured to be accessible while providing depth for advanced learners.
Are there exercises or practice problems?
Exercises are included to help you practice.
Does this course include solutions?
Solutions are available separately.
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