The mathematics department at Babin College has six women and eight men as instructors. The dean must select a committee of two women and two men for peer-review duties. How many different possible committees are there? A. 4 B. 15 C. 28 D. 420

Using the intermediate value theorem, determine, if possible, whether the function \( f \) has at least one real zero between a and \( b \). \( f(x)=x^{4}-2 x^{2}-2 ; a=3, b=5 \) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. By the intermediate value theorem, the function does not have at least one real zero between a and \( b \) because \( f(a)=\square \) and \( f(b)=\square \). (Simplify B. By the intermediate value theorem, the function has at least one real zero between a and \( b \) because \( f(a)=\square \) and \( f(b)=\square \). (Simplify your answers.) C. It is impossible to use the intermediate value theorem in this case.

calculate the hiejnt of a cylinde with diamefer \( 36,6 \mathrm{~cm} \) and the serfece crea of \( 7370.36 \mathrm{~cm}^{3} \)

\( \int \operatorname { ctan } ^ { 2 } 9 x \cdot \csc ^ { 2 } 9 x d x \)

b-Montrer que \( f \) est strictement décroissante sur \( ]-\infty ;-2[ \) et strictement croissante sur \( ] 2 ;+\infty[ \) puis Dresser tableau de variations de \( f \) sur \( D_{f} \). 6- Soit \( g \) la restriction de la fonction \( f \) sur l'intervalle \( I=[2 ;+\infty[ \) a- Montrer que \( g \) admet une fonction réciproque \( g^{-1} \) définie sur un intervalle \( J \) à déterminer. b- Calculer \( g\left(\frac{5}{2}\right) \) et déduire \( \left(g^{-1}\right)^{\prime}(4) \) c- Calculer \( g^{-1}(x) ;(\forall x \in J) \)

96 Un'indagine commerciale ha fornito i ri- sultati a lato, relativi alle abitudini a cola- zione di un campione di 100 consumatori. Quanti consumatori del campione man- giano solo biscotti? Quanti non mangiano né biscotti né cereali?