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If r=a cost i +a sint j+at tan ak,then find values of |(dr/dt)*(d²r/dt²)| and(dr/dt)*(d²r/dt²)*(d^3r/dt^3).
r = acost i +asint j +at(tanak) k..................1 dr/dt =ad/dt(cost) i + ad/dt (sint)j+ (atana)d/dt(t) k dr/dt =-asint +acost +atana k ...................2 d2r/dt2 = -acost i+ -asint j + 0 k ...............3 d3r/dt3 = asint i -acost j ...............4 now use these equations and get ur ans ...
r = acost i +asint j +at(tanak) k..................1
dr/dt =ad/dt(cost) i + ad/dt (sint)j+ (atana)d/dt(t) k
dr/dt =-asint +acost +atana k ...................2
d2r/dt2 = -acost i+ -asint j + 0 k ...............3
d3r/dt3 = asint i -acost j ...............4
now use these equations and get ur ans ...
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