Tangent normal and curvature of parametric plane curves

Question

Problem:

Tangent Normal and curvature of parametric plane curves.

Find unit tangent and normal vectors at the given point:

y= x³ at (-1,1)
x=t³ y=t² 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