Problem 1: traced out by its derivative r '(t) is shown below. Suppose that r (t) is a differentiable vector-valued function and the curve in the ry-plane -2 -1 -1 -4 -3 1 3 4 -2 The curve in the ry-plane above is traced out by r'(t). i. Explain whether r (t) uses arclength as a parameter. ii. |Give a specific vector-valued function r (t) whose derivative r '(t) traces out the curve in the image above. Then, sketch the curve traced out by your choice of r (t). Use the space below to show all necessary work. A correct function and/or picture with no supporting work will receive no credit.

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