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Show that the curve whose parametric coo...

Show that the curve whose parametric coordinates are `x=t^(2)+t+l,y=t^(2)-t+1` represents a parabola.

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To show that the curve defined by the parametric coordinates \( x = t^2 + t + 1 \) and \( y = t^2 - t + 1 \) represents a parabola, we will eliminate the parameter \( t \) and express \( y \) in terms of \( x \). ### Step-by-Step Solution: 1. **Write the parametric equations**: \[ x = t^2 + t + 1 \] ...
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