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A particle moves along a parametrized curve r ( t ) in space. Find r ( t 0 ) at the instant when t =

A particle moves along a parametrized curver(t)

in space.

Findr(t0) at the instant whent=t0,

given the following facts. (Your instructors prefer angle bracket notation< >for vectors.)

  • The instantaneous radius of curvature whent=t0
  • is(t0) =4m.
  • The unit normal vector whent=t0
  • is given by(t0) =1
  • 4
  • 3
  • ,2,3.
  • The coordinates of the center of the osculating circle whent=t0
  • are(11,5,4).

r(t0) =

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