# 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

https://brainmass.com/math/curves/tangent-normal-curvature-parametric-plane-curves-216774

#### Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is attached below in two files. the files ...

#### Solution Summary

The file offers full drivations of teh solutions to each question.

$2.19