19. Realiza la siguiente derivada. (A Indica que una variable o un nümero esta elebado a una potencia) \[ \frac{d}{d x}\left(x^{2}-3\right)^{5} \] A) \( 2 \times(2 x-3)^{45} \) B) \( 10 \times\left(x^{\wedge} 2-3\right)^{4} 4 \) C) \( 20 x^{\wedge 13-3} \) D) \( 5\left(x^{\wedge} 2-3\right)^{\wedge 4} \)

Use long division to divide. \[ \left(x^{3}-3 x^{2}-18 x+6\right) \div(x-2) \]

Use graphical methods to solve this linear programming problem. Minimize \( \quad \begin{aligned} z=4 x+7 y \\ \text { subject to: } \\ \begin{array}{rl}x-y & y \\ 3 x+2 y & \geq 18 \\ x \geq 0, y & \end{array}\end{aligned} \)

Teresa is a prosecutor working within a jurisdiction that implements vertical prosecution in most of its cases and trials. Which of the following is the use of vertical prosecution MOST LIKELY to avoid? Precharge diversions Inconsistencies that could result from having too many prosecutors involved Trying a case "in the press" Ethical dilemmas arising from a particularly sensitive case

Lorena terminó \( \frac{4}{8} \) del total de su trabajo de Matemáticas, Carmen ha hecho \( \frac{1}{4} \) del total y Norma \( \frac{8}{16} \) del total, ¿cuáles son los nombres de las compañeras que han hecho la misma fracción del trabajo de Matemáticas?

\( \frac{d}{dx}arccot(\sqrt {x^{2}-1}) \)