A particle moves along the curve $\displaystyle {y}={3}{x}^{{2}}+{6}{x}-{8}$ in such a way that as it moves, $\displaystyle \frac{{{\left.{d}{x}\right.}}}{{{\left.{d}{t}\right.}}}={8}$ units/minute.

When the particle reaches the point (7, 181) it is moving Select an answer away from towards the origin at a rate of units/minute. (Enter your answer rounded to 3 decimal places)

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