Tangent Normal and curvature of parametric plane curves.

Find unit tangent and normal vectors at the given point:

y= x^3 at (-1,1)
x=t^3 y=t^2 at (-1,1)
x=3sin2t y=4cos2t where t = pi/6
x=t-sint y=1-cost where t=pi/2

Find the curvature of the given plane:
x=5 cosh t y=3 sinh t at t=0


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