AP

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

Problem

Let

\mathbf r(t)=\langle t,\, t^{2},\,2t\rangle

for

t\ge 0

. (a) Compute

\mathbf r'(t)

and evaluate

\mathbf r'(1)

. (b) Find the unit tangent vector to the curve at

t=1

. (c) Determine the curvature of the curve at

t=1