ex7_6401

ex7_6401 - w x and w y for w = u cos v , u = x 3 + y 2 and...

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6401 2008 Problem sheet 7 Due on Monday 8 December at the problem class (1) Find the Taylor series at x = 0 of the following functions: (a) cos(3 x ); (b) cos 2 x ; (c) 1 5 - 3 x ; (d) 3 (1 - x ) 3 . (2) Find the Taylor series at x = 1 of the following functions: (a) e 5 x ; (b) cos x ; (c) 1 1+ x . (3) Compute f x , f y and f xx if f ( x,y ) = cosh( xy 2 + e y ). (4) Find
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Unformatted text preview: w x and w y for w = u cos v , u = x 3 + y 2 and v = x 2 y 3 . (5) Find all stationary points of (a) f ( x,y ) = e x-y ( x + y ) and (b) g ( x,y ) = e x 2 + y ( x + y ) and classify them as local maxima, local minima or saddle points....
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This note was uploaded on 03/03/2010 for the course MATH 6401 taught by Professor Parnovski during the Fall '08 term at UCL.

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