Tangent normal and curvature of parametric plane curves


Assignment:

Q1. 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 = πi/6
x=t-sint y=1-cost where t=π/2

Q2. Find the curvature of the given plane:
x=5 cosh t y=3 sinh t at t=0

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Mathematics: Tangent normal and curvature of parametric plane curves
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