MathCastle
Multivariable CalculusEasyCurves & Motion

Curves & Motion · Easy problem

For the twisted cubic r(t)=(t, t2, t3)\mathbf r(t) = (t,\ t^{2},\ t^{3}), compute the dot product r′(1)⋅r′′(1)\mathbf r'(1) \cdot \mathbf r''(1) of the velocity and acceleration at t=1t = 1.