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?

\( \lim _ { n \rightarrow \infty } \frac { 5 x ^ { 4 } + 3 x ^ { 2 } + 2 x + 100 } { 20 x ^ { 4 } + 3 x ^ { 3 } - x ^ { 2 } + 11 x - 10 } \)

Using a graphing calculator, estimate the real zeros, the relative maxima and minima, and the range of the polynomial function. \( g(x)=x^{3}-1.5 x+2 \) The zero(s) of the function is/are at approximately \( x=-1.647 \). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Find the relative maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The function has a relative maximum of (Round to three decimal places as needed.) \( x \approx \)

\( =\left\{\begin{array}{cc}-2 x^{2}-1, & x \leq 2 \\ \frac{4}{5} x-4, & x>2\end{array}\right. \) \( -1 \quad \) b. \( f(5)=0 \) \( f(5)=\frac{4}{5}(5)-4=4-4 \) \( =0 \)

2 How does the air on a hot day compare with the air on a cold day? A) On a hot day, air molecules have more energy B On a cold day, air molecules move faster C On a hot day, the air contains more nitrogen (D) On a cold day, air molecules don't move at all

the distances to the foci is 6 c) Find \( \int \frac{3 x}{\left(4 x^{2}-1\right)^{5}} d x \)