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Graph the curve determine its initial and terminal points

Question: Graph the curve, determine its initial and terminal points, whether it is closed or not closed, whether or not it is simple, and the tangent to the curve at each point where the tangent exists. This tangent may be expressed as a vector or as a complex function.

Γ(t) = t + t²i for 1 ≤ t ≤ 3

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Mathematics: Graph the curve determine its initial and terminal points

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