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Problem 2: [15 pts] Suppose that r (t) is a differentiable vector-valued function and the curve in the ry-plane traced out by its derivative r

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Problem 2: [15 pts] Suppose that r (t) is a differentiable vector-valued function and the curve in the ry-plane traced out by its derivative r '(t) is shown below. -4 -3 -2 -1 1 2 3 4 The curve in the ry-plane above is traced out by r '(t). i. [5 pts] Explain whether r (t) uses arclength as a parameter. ii. [10 pts] 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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