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Unformatted text preview: K/ 2. Now suppose ( s i ,t i ), i = 1 , 2 are distinct pairs of parameter values near ( s ,t ), and consider the straight line segment joining them in parameter space. This line segment can itself be parametrized as ( s ( ) ,t ( )) = ( s 1 ,t 1 ) + ( s, t ) , 1 where s = s 2 s 1 t = t 2 t 1 . Choose satisfying s = b v b cos t = b v b sin and suppose j as above. Assume without loss of generality that j = 1, so the j th component is x . Then writing x as a function of along our line segment, we have x ( ) = x ( s 1 + s,t 1 + t )...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Continuity

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