Find Î(t), Ñ(t), Â(t), and the curvature x(t) for r(t) = (sin³ (t), cos³(t), 2), t€ (0,1). (Your instructors prefer angle bracket notation <> for vectors.) Î (t) = (sin(t), -c - cos (t), 0) Ñ (t) = B(t) = k(t) = (cos(t), sin(t), 0) (0, 0, 1) (0, 0, 1) 1 3 sin(t)cos (t) (sin(t), -cos (t), 0) (cos (t), sin(t), 0) 1 3 sin(t) cos(t)

Find T(t), N(t), B(t), and the curvature ?(t) for r(t) = <sin³(t), cos³(t), 2>, t ϵ (0, π/2).

(Your instructors prefer angle bracket notation < > for vectors.)

*Please show detailed steps on how to solve. Correct answers are shown in picture.