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Unformatted text preview: L that goes through the point r (0) . 5. (15 points ) Find an equation for the tangent line to the curve r ( t ) = t 3 i2 t j2 t 2 k at the point P (1 , 2 ,2) . 6. (15 points ) (a) If r ( t ) = < t, 3 cos t, 3 sin t >, nd the unit tangent vector T ( t ). (b) Find T and N at the point (0 , 3 , 0) . 7. (20 points ) The position function for the motion of a particle is given by r ( t ) = ( 2 3 t 3 ) i + 2 t j + t 2 k = < 2 3 t 3 , 2 t, t 2 > . (a) Find the acceleration vector. (b) Find the tangential component a T of acceleration. (c) What is the normal component when t = 0? (= a N (0)) (d) How fast is the particle speeding up at time t = 1?...
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 Spring '06
 YUKICH
 Calculus, Vectors

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