2. The 13 players on a volleyball team are to line up for a team photograph. The seven shortest players will be in the front row. The remaining players will be in the back row. The coach will be in the back row on either the left or right end or in the middle. How many different arrangements are there for the team photo? (3 marks)

¿Qué opina José Saramago sobre la privacidad? \( \square \) Con el cambio social hay más privacidad. La privacidad depende de nuestros padres. \( \square \) La privacidad es un derecho. La privacidad nos ileva a reflexionar.

5. Resolver el sistema de ecuaciones \( X+Y+Z+U=10 \) \( 2 X-Y-2 Z+2 U=2 \) \( X-2 Y+3 Z-U=2 \) \( X+2 Y+4 Z+2 U=1 \)

Find \( f^{\prime \prime}(x) \) if \( f(x)=\left(5 x^{3}-x^{2}\right)\left(3 x^{4}+7\right) \)

Determine the location and value of the absolute extreme values of \( f \) on the given interval, if they exist. \( f(x)=\cos ^{2} x \) on \( [0, \pi] \) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an exact answer; using \( \pi \) as needed. Use a comma to separate answers as needed.) A. The absolute maximum is \( \square \) at \( x=\square \) and the absolute minimum is \( \square \) at \( x=\square \). B. The absolute minimum is \( \square \) at \( x=\square \), but there is no absolute maximum. C. The absolute maximum is \( \square \) at \( x=\square \), but there is no absolute minimum. D. There are no absolute extreme values for \( f(x) \) on \( [0, \pi] \).

\( f ( x ) = \frac { 1 } { \sqrt[ 3 ] { x } } \quad f ^ { \prime } ( 8 ) = \frac { 1 } { 2 } = \)