find the length of the curve r(t)=2t^(3/2)i + cos(2t)j + sin(2t)k 0<t<1.
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then the length of the curve is
In general s= integral (sqrt[(dx/dt)^2 +(dy/dt)^2 + (dz/dt)^2]dt) here s = int (sqrt[9t+ 4]) Let u = 9t + 4 du = 9dt s = 1/9intsqrt(u) = 2/27(9t+4)^(3/2) from 0 to 1 s = 2/27(13^3/2- 8)
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