A particle moves along the plane curve C described by r(t) = ti + tj. (a) Find
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A particle moves along the plane curve C described by r(t) = ti + t²j.
(a) Find the length of C on the interval 0 ≤ t ≤ 2.
(b) Find the curvature K of the plane curve at t = 0, t = 1, and t = 2.
(c) Describe the curvature of C as t changes from t = 0 to t = 2.
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