Question: code class=asciimath>(3)(25 marks) Consider the maps gamma _(1):R->R^(2),gamma _(1)(t)=(t^(2),t^(4)) and gamma _(2):R->R^(2),gamma _(2)(t)=(t,t^(2)).(a) Which of gamma _(1) and gamma _(2) give a regular parametric curve.

code class="asciimath">(3)(25 marks) Consider the maps \gamma _(1):R->R^(2),\gamma _(1)(t)=(t^(2),t^(4)) and \gamma _(2):R->R^(2),\gamma _(2)(t)=(t,t^(2)).(a) Which of \gamma _(1) and \gamma _(2) give a regular parametric curve. (b)Compute the unit tangent vectors at t=10 for the regular parametric curve you determined in part (a).(c)Compute the unit normal vector at t=10 for the regular parametric curve you determined in part (a).(d)Find the tangent line at t=10 for the regular parametric curve you determined in part (a).

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