Unformatted text preview: smallest; that happens at the times t = 0 or â‡¡ for which the position is then (0 , 0) and (10 â‡¡1 , 0). Problem 4. a)  M  =12. b) 5, b = 7.a = 2 3 2 x 1 1 4 t/ 12 + 1 1 3 3 2 3 2 3 4 5 = 4 4 5 5 = 4 5 c)5 78 75 4 7 t/ 1225 t/ 12 + 1 t y 12 z d ~ r 1 7 5 d) dt = 12 , 12 ,12 . Problem 5. a)N Â·r ( t ) = 6 , whereN ! ! ! = h 4 ,3 ,2 i . b) We di â†µ erentiateN Â·r ( t ) = 6: ! ! d d d d! NN Â·r ( t ) +N ! ! ! Â·r ( t ) +! Nr ( t ) ! ! and hence! N ? d r ( t ). ! dtr ( t ) =! ! r ( t ) ! Â·= 0 = Â· Â· dt dt dt dt...
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 Spring '14
 GuantaoChen
 Graph Theory, Trigraph, 3k, 2k

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