Penelope has been working on the same assault and battery case for nearly six weeks. The preparatory work and trial might have gone quicker if she had been able to hand off some of the workload to one of the many other prosecutors within her jurisdiction. This very jurisdiction, however, long ago implemented a program that ensures that one prosecutor handles a given case from beginning to end. Which of the following terms BEST encapsulates this? Deferred prosecution diversion Vertical prosecution prosecution Qualified immunity

3. For a given increase in the interest rate, investment___ aggregate spending___ and total income A \( \quad \) marks) B Increaseses; increases; increases C Decreases; decreases; decreases D Increases; decreases; decreases

\( \begin{array}{ll}\text { Ejemplo: } 9=3^{2}=\left(\frac{1}{3}\right)^{-2} \\ 16 & \text { k) } 81 \\ 25 & \text { i) } 121 \\ 49 & \text {. m) } 144 \\ 64 & \text { n) } 1 / 1.024 \\ 100 & \text { i) } 1 / 625 \\ 256 & \text { o) } 1 / 324 \\ 10.000 & \text { p) } 1 / 144 \\ \frac{1}{100} & \text { q) } 100\end{array} \)

The domain of the function \( f(x, y)=\sqrt{x}+\sqrt{y} \) is A. The union of two intervals B. The area inside a parabola C. All of the xy-plane D. The first and third quadrants E. The first quadrant

Suppose that a country has a mixture of individuals and companies that are in each of the following situations: Group I. These have borrowed in domestic currency to finance assets whose values are also in domestic curren Group II. These have borrowed in foreign currency to finance assets valued in domestic currency. Group III. These have borrowed in domestic currency to finance assets valued in foreign currency. Group IV. These have borrowed in foreign currency to finance assets valued in (the same) foreign currency. Which of these groups see the domestic-currency value of their wealth fall when the country devalues? (Assume achese that the initial value of the assets is at least as great as what was borrowed).

1. If \( \vec{A}=2 \vec{\imath}+3 \vec{\jmath}, \vec{B}=3 \vec{\imath}-\vec{\jmath} \), then \( \|\overrightarrow{2 \mathrm{~A}}-\overrightarrow{\mathrm{B}}\|=\ldots \) 2. If \( \vec{A}=(-2,1), \vec{C}=(-3, k) \) are parallel, then the value of \( \mathrm{k}=\ldots \) 3. If \( \vec{A} \perp \vec{B}, \vec{A}=(3,4), \vec{B}=(4, m) \), then \( m=\cdots \). 4. If \( \vec{A}=(2,3), \vec{B}=(-1,2) \), then \( \overrightarrow{A B}=\cdots \) 5. If \( \vec{A}=\left(10,45^{\circ}\right) \), write \( \vec{A} \) in term of fundamental unit vectors. 6. If \( \vec{A}=(4,4 \sqrt{3}) \) find in polar form the position vector of the point A respect to the origin point. 7. If \( \|-8 \overrightarrow{\mathrm{~A}}\|=5\|k \overrightarrow{\mathrm{~A}}\|=\ldots \ldots \), then find the value of k