If a virus spreads at a rate that can be modeled by the exponential function \( A(t)=a^{r t} \), how many people will be infected after 5 days if initially 3 people are infected and the growth rate is \( 40 \% \) ? (Use your calculator for a precise version of e. If you are not able to use a calculator, you can approximate e as 2.718 . Round your anșwer to the nearest person.)

3) Soit \( \left(v_{n}\right) \) la suite numérique définie par \( v_{n}=\frac{2-u_{n}}{1-u_{n}} \), pour tout entier naturel \( n \) 0.5 a) Montrer que \( \left(v_{n}\right) \) est une suite géométrique de raison \( \frac{2}{3} \) b) Montrer que \( u_{n}=1+\frac{1}{1-\left(\frac{2}{3}\right)^{n+1}} \), pour tout entier naturel \( n \) c) Calculer la limite de la suite \( \left(u_{n}\right) \)

La función es continua en el punto dado: \( f(x)=3 x+2 \) en el intervalo \( [0,3) \) Verdadero Falso

5. \( \forall \alpha \in \mathbb{R} \) için, \( A=-2 \sin \alpha+1 \) olduğuna göre, A nın değer aralığı nedir?

What effect does multiplying the function \( f(x) = 3^x \) by -1 have on its graph? Describe any transformations.

18) \( \frac{1}{1+\log _{b} a+\log _{b} c}+\frac{1}{1+\log _{c} a+\log _{c} b}+\frac{1}{1+\log _{a} b+\log _{a} c}=\ldots \ldots \ldots \) \( \begin{array}{lll}\text { a) } \log _{a} b c & \text { b) } \log _{b} a c & \text { c) } \log ^{2}\end{array} \)