123. Sheep population. A herd of sheep doubles in size every three years. There are now 1500 sheep in the herd. a. Find an exponential function of the form \( P=P_{0} e^{r t} \) to model the herd's growth. b. How many sheep will be in the herd seven years from now (round your answer)? c. In how many years will the herd have 15,000 sheep?

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (e) Is f a one-to-one function? Does fhave an inverse?

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 ( \( u \) ).

\( \sum _ { m - 1 } ^ { 5 } \frac { 7 } { m } = \)

Find the domain of the function. \[ f(x)=\ln \left(x^{2}-121\right) \] Write the domain in interval notation. The domain is \( \square \).

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (a) What are the domain and range of \( f \) ? The domain of \( f \) is \( \square \) and the range of \( f \) is (Type your answers in interval notation.) (b) Is f either increasing or decreasing on its domain?