Part 2: Analyzing the Impact of Election Results National Impact: - What are potential shor-term and long-term impacts of these results on national poliey? - How might these results shift the balance of power or Influence decision-making in government? Local Impact: - Describe one way the results could affect your community or state. - Are there any new policles or leadership changes expected?

Find the product of the following two matrices. \[ \left[\begin{array}{ll}1 & 0 \\ 0 & 3\end{array}\right]\left[\begin{array}{cc}1 & -1 \\ 1 & 1\end{array}\right] \]

Soluciona las siguientes integrales definidas. a. \( \int_{1}^{3}\left(2 x^{4}+5 x^{3}+x^{2}-2 x+3\right) d x \) b. \( \int_{2}^{4}\left(3 x^{2}+x\right) d x \)

Exercise \#2. Calculate confidence intervals for the population mean when you do not know the population standard deviation. Use the following information to complete the calculations. Show your work. Formula: \( \bar{x} \pm t\left(\frac{s}{\sqrt{n}}\right) \) (2a) Assume the following: \( \bar{x}=60 \mathrm{~s}=7 \quad n=81 \) Calculate confidence intervals for a \( 95 \% \) confidence level. Calculate confidence intervals for a 99\% confidence level.

\( f ( x ) = \operatorname { Ln } ( 3 x - 2 ) \)

Question(5): Find the conjugate of the number: \( \frac{1}{\sqrt{5}-2} \)