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Calculus 3 Extra Credit Challenge
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Work this problem over the weekend and turn it in on Monday in class for (up to) 14 points.
The acceleration of a particle is a(t) = (4 sin t cos t)T (t) + (4et sin2 ( t6
))N(t),
where T (t) is the unit tangent vector and N(t) is the principle unit normal vector.
At t = π2
the speed of the particle is 4. What is κ (2π )?
