Question

Find the unit tangent vector I and the curvature

r(t) = (√55 cos t3 cos 18 sin t
t,8

Sorry for some reason I’m stuck

Answer 1

The unit tangent vector I is (-cos t^3 cos 18 sin t, 8 sin t). The curvature, k, of this curve is: k = (3t^2 cos t^3 cos 18 sin t + 8 cos t) / (55 + 81 sin^2 t)^(3/2).