MathCastle
Multivariable CalculusSuperchallengeCurves & Motion

Curves & Motion · Superchallenge problem

Consider the curve r(t)=(cosh⁡t, sinh⁡t, t)\mathbf r(t) = (\cosh t,\ \sinh t,\ t). Find its curvature at the point reached by travelling an arc length of 22 from (1,0,0)(1, 0, 0) in the direction of increasing tt.