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Let $$f(x) = \begin{cases} 3x^2 + 2&\text{if } x\le 3, \\ ax - 1 &\text{if } x>3. \end{cases}$$Find $$a$$ if the graph of $$y=f(x)$$ is continuous (which means the graph can be drawn without lifting your pencil from the paper).

May 25, 2020