Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 26 times, keeping track of the numbers that are rolled A. Not binomial: the trials are not independent. B. Not binomial: there are too many trials. C. Not binomial: there are more than two outcomes for each trial. D. The procedure results in a binomial distribution.

.) \( 75 \div-\frac{1}{5}= \)

It is known that \( \lim _{x \rightarrow 0} \frac{\sin (2 x)}{2 x}=1 \). What is \( \lim _{x \rightarrow 0} \frac{\cos (5 x)}{8 x \cot (2 x)} ? \)

1. Simplify as a single trig function: \[ \frac{\cos \theta \sec \theta}{\cot \theta} \]

2. For each of the following power function sketch its graphs and state is properties (domain, range, \( \mathrm{x} \& \mathrm{y} y \) intercepts and generalize for the case of each function based on its power and coefficients) \( \begin{array}{llll}\text { a. } f(x)= \pm 2 x^{\frac{3}{2}} & \text { c. } f(x)= \pm 3 x^{ \pm \frac{3}{2}} & \text { e. } f(x)=\frac{5}{x^{-\frac{2}{3}}} & \text { g. } h(x)=\sqrt{2} x^{\frac{4}{3}}\end{array} \)

\( y ^ { \prime \prime } + 2 y ^ { \prime } + y = 0 ; \quad y _ { 1 } = x e ^ { - x } \)