Considera gli enunciati \( A: \) «Laura ha 18 anni,» e \( B \) : «Laura ha la patente.». In quali casi gli enunciati \( A \wedge B \) e \( A \vee B \) sono veri e in quali falsi? \( \mathrm{E} \overline{A \wedge B} \) ?

Perform the indicated operations on the following radicals. \[ 2 \sqrt{25 x}-6 \sqrt{4 x}-5 \sqrt{16 x} \]

Solve for \( x \) and \( y \) simultaneously: \( \begin{array}{l}2 y+x=1 \\ x^{2}+y^{2}+3 x y+y=0\end{array} \)

The length of common chord of two intenceting circles is 30 cm . If the diametens of these two circles be 50 cm and 34 cm , calculate the distance between their centres.

1. Which of the following is a factor of the polynomial below? \( 4 x^{3} y-8 x^{2} y^{2}+10 x y^{3} \) \( \begin{array}{llll}\text { A. } 4 y^{2} & \text { B. } 2 x^{2} & \text { C. } 2 x y & \text { D. } x^{2} y^{2}\end{array} \)

The limit below represents a derivative \( f^{\prime}(a) \). Find \( f(x) \) and \( a \). \[ \lim _{h \rightarrow 0} \frac{5^{2+h}-25}{h} \] \( f(x)=\square \) \( a=25 \)