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## Homework Statement

Hi all.

I am given the following parametric function in the complex plane C:

[tex]

\gamma = \left\{ {\begin{array}{*{20}c}

{t^2 + it\,\,\,\,\,\,\,\,{\rm{for }}\,\,t \in [0,1]} \\

{t + i\,\,\,\,\,\,\,\,\,\,\,\,{\rm{for }}\,\,t \in ]1,2]} \\

\end{array}} \right.

[/tex]

In order to sketch it for t in [0,1], will it be correct it I set x(t) = t

^{2}and y(t) = t, and sketch it in the real plane?

Thanks in advance.

Best regards,

Niles.