21-259  Calculus in 3-D  Spring 2003

Formula Sheet for Test 1

\frac{ds}{dt} = |r⃗′(t)|

κ = |\frac{dT⃗}{ds} |

κ = \frac{|r⃗′(t) × r⃗′′(t)|}{|r′(t)|^{3}}

If y = f(x), then κ = \frac{|f′′(x)|}{(1 + f′(x)^{2})^{3/2}} .