5: Why would an army want control of a town like Savannah? (3 points)

5. \( y=x^{2}+3 x-10 \) and the \( x \)-axis.

2. (UECE) Se ié ó número complexo cujo quadrado é igual \( a-1 \), entáo, o valor de \( 5 \cdot i^{227}+i^{6}-i^{13} \) é igual a \( \begin{array}{ll}\text { a) } i+1 & \text { c) }-6 i-1 \\ \text { b) } 4 i-1 & \text { d) }-6 i\end{array} \)

From the previous DeBroglie example, compare the velocity uncertainty measurement in both Dr. Ochoa and the electron if the uncertainty in position, \( \Delta x \), is \( 1.00 \times 10^{-12} \mathrm{~m} \). Note: The mass of Dr. Ochoa was 84.55 kg and he was running at \( 2.68 \mathrm{~m} / \mathrm{s} \), the electron has a mass of \( 9.109 \times 10^{-31} \mathrm{~kg} \) and was moving at \( 1.00 \times 10^{8} \mathrm{~m} / \mathrm{s} \).

Find the real solutions of the equation. (Enter your answers as a comma-separated list. If the solution is not (a) \( x^{3 / 5}=-8 \) \( x=\square x^{2 / 3}=16 \) (b) \( x=x^{4 / 3}=-64 \) (c) \( x=x^{2} \)

3. Даны векторы \( \vec{m}(6 ;-8), \vec{n}(2 ;-3), \vec{a}=(x ; 7) \). Найдите: a) косинус угла между векторами \( \vec{m} \) и \( \vec{n} \); b) число \( x \), если векторы \( \vec{m} \) и \( \vec{a} \) коллинеарны; c) число \( x \), если векторы \( \vec{n} \) и \( \vec{a} \) перпендикулярны.