The function $f(x)$ is defined as follows : $f(x) = \left\{ \begin{array}{l l} x^2+ax+b & \quad 0 \leq x < 2 \\ 3x+2, & \quad 2 \leq x \leq 4 \\ 2ax+5b & \quad 4 < x \leq 8 \end{array} \right.$ If $f$ is continuous on $[0,8]$ find the values of a and b

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