Calculate the length of the curve C, defined by r(t)=â©2cos(t),2sin(t)⪠with domain of âÏ/2â¤tâ¤Ï/2
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Compute the line integral with respect to arc length of the function f (x, y, z) = x along the parametrized curve r â(t) = â©t, t2, t⪠with 0 ⤠t ⤠3.
Consider a particle moving along a curve so that it is at position f(t) = â©2t^3,t^2⪠at time t. Then the particle is moving parallel to â©1,â2⪠at time t = ---- at the point ---- , when the direction of motion is ------