QUESTION ONE a. The point \( A \) has coordinates \( (p, 1) \) and the point \( B \) has coordinates \( (9,3 p+1) \) Where \( p \) is a constant. \( i \). For the case where the distance \( A B \) is 13 units, find the possible values of \( p \)

\( \lim _ { x \rightarrow 0 ^ { + } } \frac { \sqrt[ 3 ] { x \sin ^ { 2 } ( 2 x ) } ( \sqrt { x } - 1 ) } { e ^ { x } - \cos ( 3 x ) } \)

Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) \[ 25 x^{3}-125 x^{2}-25 x+125=0 \] \( x=\square \)

Point A has coordinates \( (-13,-9) \) Point B has coordinates \( (1,15) \)

determina si \( b \) es una combinación lineal de \( a 1, a 2 \) y \( a 3 \). \( a 1=(4,4,-1), a 2=(2,1,-1), a 3=(1,0,2), b=(1,-1,1) \)

\( \lim _ { x \rightarrow 0 ^ { + } } \frac { e ^ { 2 x \sin ( 3 x ) } - 1 } { 1 - \cos x } \)