Unformatted text preview: z = xy . 6. If r ( t ) = < t,t 2 ,t 3 > , ﬁnd r ( t ) , T (1), r 00 ( t ), and r ( t ) × r 00 ( t ). 7. At what point do the curves r 1 ( t ) = < t, 1t, 3 + t 2 > and r 2 ( s ) = < 3s,s2 ,s 2 > intersect? Find their angle of intersection correct to the nearest degree. 8. If r ( t ) 6 = 0, show that d dt  r ( t )  = 1  r ( t )  r ( t ) · r ( t ). [Hint:  r ( t )  2 = r ( t ) · r ( t ) ] 9. Find the length of the curve r ( t ) = t 2 i + 2 t j + ln t k , 1 ≤ t ≤ e . 1...
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 Spring '10
 Tor
 Math, cylinder x2, Parametric equation, Parametric surface

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