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6) A particle moves according to r(t)=<1,t,t^2)> where x(t),y(t) and z(t) are all given in meters and t in seconds. a) How fast and in what direction (give direction as a unit vector) is the par...

6) A particle moves according to r(t)=<1,t,t^2)> where x(t),y(t) and z(t) are all given in meters and t in seconds. a) How fast and in what direction (give direction as a unit vector) is the particle traveling in at time t=1? b) Find the curvature when t=1. c) Find the unit normal when t=1 d) Find an equation for the Osculating plane (determined by T and N) when t = 1.

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6) A particle moves according to r(t)=<1,t,t^2)> where x(t),y(t) and z(t) are all given in meters and t in seconds. a) How fast and in what direction (give direction as a unit vector) is the par...
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