If the function \( f(x)=\left\{\begin{array}{ll}A x-B, & x \leq 1 \\ 3 x, & 1x2 \text { is conti...

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If the function \( f(x)=\left\{\begin{array}{ll}A x-B, & x \leq 1 \\ 3 x, & 1x2 \text { is continuous } \\ B x^{2}-A, & x \geq 2\end{array}\right. \) at \( x=1 \) and discontinuous at \( x=2 \), find the values of \( A \) and \( B \).
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