1. Home
  2. Flashcards
  3. Preview

Calc III - Ch13 formulae

  1. Arc length of a vector function <x(t), y(t), z(t)>
    Image Upload 2
  2. Unit tangent vector T of r(t)
    Image Upload 4
  3. Curvature given arc length parametrization and T
    Image Upload 6
  4. How to relate arc length to r(t)
    ds/dt = ||r'(t)||
  5. Curvature given T and r(t)
    Image Upload 8
  6. Curvature given only r(t)
    Image Upload 10
  7. Curvature of a plane curve given y = f(x)
    Image Upload 12
  8. Find B given only r(t)
    Image Upload 14
  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 = Image Upload 16T
  16. normal component of acceleration given r(t)
    Image Upload 18
Author
Anonymous
ID
235856
Card Set
Calc III - Ch13 formulae
Description
Given some things, calculate other things.
Updated

  1. Home
  2. Flashcards
  3. Preview