For the space curve with positive constants and

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the space curve

\mathbf r(t)=\langle a\cos t,\, a\sin t,\, bt\rangle

with positive constants

a

and

b

, find the curvature

\kappa(t)

and evaluate

\kappa(0)

in terms of

a

and

b