Tema
Q:
\( f(x)=\left\{\begin{array}{ll}x^{2}-2 b & \text { se } x<-1 \\ 2 x-b & \text { se }-1 \leq x<3 \\ \sqrt{2 x+a} & \text { se } x \geq 3\end{array}\right. \)
Q:
st four terms of the expansion \( \frac{1}{1-x} \) in ascending powers of \( x \)
Q:
function \( f: f(x)=3+\frac{1}{x-2} \) is
Q:
Use a calculator to perform the indicated operation. Give the answer in rectangular form.
\( \left(2 \text { cis } \frac{4 \pi}{9}\right)^{2} \)
\( \left(2 \text { cis } \frac{4 \pi}{9}\right)^{2}=\square \)
(Type your answer in the form a + bi. Use integers or decimals for any numbers in the expression. Round to four decimal
places as needed.)
Q:
Aufgabe 4:
Bestimmen Sie die Werteme
a) \( f(x)=-\frac{1}{7} x^{2}+5 x-1,5 \)
Q:
For the following rectangular equation, give the equivalent polar equation and sketch its graph.
\( x^{2}+y^{2}=9 \)
The polar form of the rectangular equation is
(Use a comma to separate answers as needed. Type each answer only once.)
Q:
For the following rectangular equation, give the equivalent polar equation and sketch its graph.
\[ x^{2}+y^{2}=100 \]
The polar form of the rectangular equation is
(Use a comma to separate answers as needed. Type each answer only once.)
Q:
For the following rectangular equation, give the equivalent polar equation and sketch its graph.
\[ x-y=20 \]
The polar form of the rectangular equation is
(Use a comma to separate answers as needed. Type each answer only once.)
Q:
Détermine l'ensemble de définition \( D_{f} \) de \( f \) définie de \( E \) vers \( \mathbb{R} \) dans chacun des cas
ci-dessous :
\( \begin{array}{lll}\text { 1) } f(x)=(x-1)(x+3)^{2} & ; E=\mathbb{R} & \text { 2) } f(x)=\frac{x+3}{\left(x^{2}+1\right)(2 x+5)} ; E=\mathbb{R}\end{array} \)
Q:
Write the first six terms of the sequence whose \( n \)th term is \( (-1)^{n} /(3 n+4) \).
\( a_{1}=\square \)
\( a_{2}=\square \)
\( a_{3}=\square \)
\( a_{4}=\square \)
\( a_{5}=\square \)
\( a_{6}=\square \)
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