Solution

Formula [11] provides a quadratic polynomial approximation p2(x) for the function f(x):

[11]

We have

[s1]

and

[s2]

Valuing f, , and at = (0,0), we obtain

f(0,0) = 0

[s3]

   
[s4]
   
[s5]

Substituting these into [11], our result is

[s6]

[s7]

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