- Geometry and Topology
- Geometric Shapes
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
The file offers full drivations of teh solutions to each question.