2) \( \left(w_{n}\right) \) a pour terme général : \( w_{n}=4^{n}-5^{n} \) Sxercice 2: (5 points) Soit \( \left(u_{n}\right) \) la suite définie par \( u_{0}=-3 \) et pour tout \( n \in N \) par \( u_{n+1}=\frac{9}{6-u_{n}} \). Soit \( \left(v_{n}\right) \) la suite définie par \( v_{n+1}=\frac{1}{u_{n}-3} \) 1) Démontrer que la suite \( \left(v_{n}\right) \) est arithmétique de raison \( \frac{-1}{3} \) 2) En déduire l'expression de \( v_{n} \) puis de \( u_{n} \) en fonction de \( n \). 3) Déterminer la limite de la suite ( \( u \) ).

The length of each day in Nashville, TN can be approximated across the year using the function \( 1(\mathrm{~d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). What is the period of the function in days?

The length of each day in Nashville, TN can be approximated across the year using the function I \( (\mathrm{d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). What is the amplitude of the function in hours?

Graph the polynomial function \( f(x)=x(3-x)(5-x) \) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like \( y= \) \( |x| \). (b) For large values of the \( x \) - and \( y \)-interce, function. The \( x \)-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)

2. Identify a rational function whose graph lies entirely above the \( \% \) axis and has a single vertical asymptote. Graph the function. 3. Identify a rational function whose graph has the horizontal asymptote \( y=2 \) and two vertical asymptotes. Graph the function.

The length of each day in Nashville, TN can be approximated across the year using the function I(d) \( = \) \( -2.375 \cos (0.0172 d)+12.125 \). How long do you expect the day of December 31st to be? Round your answer to the nearest tenth of an hour.