Unformatted text preview: t = 1. (5) Find the limit or show that it does not exist: lim ( x,y ) → (1 , 2) ( x1) 2 ( y2) x 2 + y 22 x4 y + 5 . (6) Find the linearization of f ( x,y ) = xe xy at (1 , 0) and use it to approximate f (1 . 02 ,. 01). (7) Find the tanget plane to the surface 4 x 2 y 2 z + 3 xyz 3 = 7 at (1 , 1 , 1). (8) Show that u = f ( x + at ) + g ( xat ) where f,g are twice di±erentiable satisﬁes the wave equation u tt = a 2 u xx . (9) Given the equation x 2 y + y 3 = 1, use implicit di±erentiation to ﬁnd dy dx and d 2 y dx 2 . (10) Problem 34 on page 917. (11) Problem 38 on page 925....
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 Fall '08
 Keeran
 Calculus, Osculating circle

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