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A model rollercoaster has been signed to you in which the entrance starts at (0,12) and exits at (12,0) the rollercoasters has a local minimum

A model rollercoaster has been signed to you in which the entrance starts at (0,12) and exits at (12,0) the rollercoasters has a local minimum at (5,1) and a local maximum at(9,6) the slope of the curve at the enctrance and exts ports must be zero in order to facilitate getting on and off of the rollercoaster car

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