Bonus 1 : Write each of the following expressions as a number with the indicated base. (a) \( 5 \times 2^{6}+15 \times 2^{2}-2^{2} \) (b) \( 7-5(10)+10000+9\left(10^{5}\right) \quad \) (base 10) Bonus 2 : Consider the expression \( \left(625 \cdot 5^{m+1}\right)^{n+1} \), where \( m \) and \( n \) are positive integers. (a) Simplify the expression. (b) If \( \left(625 \cdot 5^{m+1}\right)^{n+1}=25^{9} \), find all possible values of \( m \) and \( n \).

(b) Consider the function \( g(x)=\frac{7 x+4}{3 x+4} \). Enter the number of critical points/numbers of \( g(x) \). Determine the \( x \)-coordinates of the critical points. Enter your answer as a comma-separated list of values. order of the values does itot matter. Enter DNE if \( g(x) \) does not have any critical points. (

Simplify, giving your answer with positive indices \( \left(a^{3}\right)^{2} \times a^{-7} \)

\( f ( x ) = e ^ { x ^ { 2 } } - 3 \operatorname { cn } ( \sin x ) . \)

Calcola la lunghezza del contorno della parte colorata della figura tenendo conto dei dati.

\( \left. \begin{array} { l }{ 5 x ^ { 3 } + 3 x ^ { 2 } - 2 } \\ { \times \quad 2 x ^ { 2 } + 3 x } \\ { \hline } \end{array} \right. \)