(d) \( a^{2} b \times b^{2} c \times c a^{2} \)

if \( A=[a v]_{2 \times 2} \) and \( a i j=\left\{\begin{array}{l}{\left[\frac{j-1}{2}\right] \quad i<j} \\ 2 \quad i=j \\ {\left[\frac{j+i}{2}\right] \quad i>j}\end{array}\right] \) what is the sum of the fields of matris A) \( 4 \times 2^{15} \) B) \( 4 \times 2^{30} \) C) \( 19 \times 2^{14} \) D) \( 15 \times 2^{14} \)

\( 128 \left\{ \begin{array} { l } { \frac { 3 x + 2 } { 5 } - \frac { 2 x - y } { 4 } = \frac { 2 x + y - 3 } { 2 } - \frac { 9 } { 5 } } \\ { \frac { 2 x - 3 y } { 4 } + \frac { x + y - 2 } { 3 } = \frac { 3 x - 2 y } { 6 } } \end{array} \right. \)

Solve the exponential equation: \( 3^{2x} = 81 \)

\( \left\{ \begin{array} { l } { ( x + y ) ^ { 2 } - ( x - 1 ) ^ { 2 } - ( y + 2 ) ^ { 2 } - 2 y ( 1 + x ) = 3 } \\ { x ( x ^ { 2 } - 1 ) + ( y - x ) ^ { 3 } - ( y - 1 ) ( y ^ { 2 } + y + 1 ) = 3 y - 3 x y ( y - x ) } \end{array} \right. \)

(3) For what value of \( a \), does the function \( f(x)=\left\{\begin{array}{ll}a x^{2}+1 & x \leq 2 \\ 2 x-a & x>2\end{array}\right. \) have no points of discontinuity? \( \quad a(2)^{2}+1=2(2)-a \)