Unformatted text preview: problem. Be sure to check that the curvature is max at the critical point. (5) Calculate the velocity and acceleration vectors and the speed at t = π 4 for a particle whose position at time t is given by→ r ( t ) = cos t→ ı + cos 2 t→ + cos 3 t→ k . (6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Find a formula for the curvature of the cycloid given by x = tsin t,y = 1cos t . 1...
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 Winter '11
 JerryMetzger
 Calculus, Multivariable Calculus, Velocity, Cos, Euclidean space

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