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Unformatted text preview: , 3 , 2). 6. Determine the points (if there are any) where the following functions are not continuous. Justify your answers. (a) f ( x,y ) = sin( x + y ) xy (b) g ( x,y ) = 1 x 2 + y 2 + 1 (c) h ( x,y ) = ( xy x 2 + y 2 , ( x,y ) 6 = (0 , 0) , ( x,y ) = (0 , 0) 7. Explain why the limit of f ( x,y ) = 3 x 2 y 2 2 x 4 + y 4 does not exist as ( x,y ) approaches (0 , 0). 8. Two masses travel through space along space curve described by the two vector functions ~ r 1 ( t ) = < t, 1t, 3 + t 2 > ~ r 2 ( s ) = < 3s,s2 ,s 2 > where t and s are two independent real parameters. (a) Show that the two space curves intersect by nding the point of intersection and the parameter values where this occurs. (b) Find parametric equations for the tangent line to each of the two space curves at the intersection point....
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 Fall '07
 KAMIENNY
 Math, Calculus

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