Question 1: Plotting Space Curves Consider the following vector function: r(t) =

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Question 1: Plotting Space Curves Consider the following vector function: r(t) = (t^2, root t - 1, root 5 - t) Question 1(a): What is the domain of this vector function? Question 1(b): Using Maple's spacecurve command, graph the curve of this vector function. Ensure that you choose a parameter domain (i.e., range for t) and viewpoint that reveal the true nature of the curve. When choosing your parameter domain, consider your solution to part 1(a). Rotate the plot of the curve to achieve the best viewpoint that illustrates your curve before you print. Question 2: Visualizing Space Curves Consider the curve with the following parametric equations: Question 2(a): Using Maple's spacecurve command, graph the curve of this vector function. Use the parameter domain as t = -Pi ..Pi for this plot.

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