# Calc III - Ch13 formulae

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1. Arc length of a vector function <x(t), y(t), z(t)>
2. Unit tangent vector T of r(t)
3. Curvature given arc length parametrization and T
4. How to relate arc length to r(t)
ds/dt = ||r'(t)||
5. Curvature given T and r(t)
6. Curvature given only r(t)
7. Curvature of a plane curve given y = f(x)
8. Find given only r(t)
9. Find N given B and T
N = B x T
10. How to find the normal plane
Use T(t) as the normal and r(t) for a given point t on the curve
11. How to find the osculating plane
Use B(t) as the normal and r(t) for a given point t
12. v(t) given r(t)
v(t) = r'(t)
13. a(t) given r(t)
a(t) = r''(t) = v'(t)
14. v given T
V = vT = ||v||T
15. Tangential component of acceleration given r(t) and T
||r'(t)||T = T
16. normal component of acceleration given r(t)
 Author: Anonymous ID: 235856 Card Set: Calc III - Ch13 formulae Updated: 2013-09-19 22:27:01 Tags: calc iii formula Folders: Description: Given some things, calculate other things. Show Answers: