3. ¿Cuál es la superficie lateral de un pilsma recto de 9 cm de altura cuya base eo un hexágono regular de \( 10,38 \mathrm{~cm}^{2} \) de superficie.

Find the difference. \[ \left[\begin{array}{l}7 \\ 4\end{array}\right]-\left[\begin{array}{l}3 \\ 2\end{array}\right] \] \( [[?]] \)

A certain lifting system is presented by the diagram shown below. Gear A on the motor shaft has 20 teeth and is meshed to gear B which has 100 teeth andlis fixed to a winch drum C having a radius of 100 mm . A mass m hangs on a light inelastic rope which is wound around the drum and fixed to it. At a given time A rotates at \( 600 \mathrm{r} / \mathrm{min} \) and is then accelerated during 15 seconds to \( 1200 \mathrm{r} / \mathrm{min} \). Calculate: 8.1) the number of revolutions and radians through which B rotates during its acceleration respectively,

\( y ^ { \prime \prime } + 5 y ^ { \prime } - 6 y = 10 e ^ { 2 x } \)

Se banbed aile lacid el interiol de un 9060 esferico de modo que su Volumen aumenta a razion de \( 100 \mathrm{~cm}^{3} / \mathrm{s} \) ¿con que rapidez ceceel radio del 91060 cuando su diametio es 50 cm ?

(a) Cari. nilai bagi \( p \) jika pakși-x ialah tangen kepada graffungsikuadratik \( p x^{2}-24 x+p+7 \).