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Unformatted text preview: P . 7. At what angle does the curve C intersect the yzplane? That is, what angle does the tangent vector make with its projection in the yzplane? 8. Calculate N at the point P , from the vectors T and B . 9. Suppose that u ( t ) represents the velocity of an object where t is time in seconds and the magnitude is measured in m/s. Find the displacement vector of the object from t = 1 to t = 4 . How far (round to 3 decimals) has the object traveled from its original position at t = 1 ? 10. Show that, more generally, the curve C has curvature ( t ) = 2 t (1 + 2 t 2 ) 2 . At what point does C have maximum curvature?...
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 Spring '08
 Keeran
 Calculus, Geometry

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