Question: Problem 1: - Suppose that ?(t) is a dierentiable vector-valued function and the curve in the cry-plane traced out by its derivative 1' '(t) is

 Problem 1: - Suppose that ?(t) is a dierentiable vector-valued function

and the curve in the cry-plane traced out by its derivative 1'

Problem 1: - Suppose that ?(t) is a dierentiable vector-valued function and the curve in the cry-plane traced out by its derivative 1' '(t) is shown below. . i 4 - i I I D x #4 a3 a2 a1 1 2 3 4 _1 . . -2 The curve in the ry-plane above is traced out by 7 '(t). i. - Explain whether ?(t) uses arclength as a. parameter. Are you submitting a revision for this problem? 0 Yes 0 No ii. - Give a specic vectorvalued function ?(t) whose derivative ?'(t) traces out the curve in the image above. Then, sketch the curve traced out by your choice of :(t). Use the space below to show all necessary work. A correct function and/ or picture with no supporting work will receive no credit. Are you submitting a revision for this problem? 0 Yes O No

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