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1. (a) (15) Write down the Taylor series expansion of the function f(x) = 1 − 4x, about the point x0 = −3. Neglect terms of order four or higher. (b) (15) Write down the Taylor series expansion of the function f(x, y) = e−(x2 + y2), about the point (x0, y0) = (1, 2). Neglect terms of order three or higher.

1. (a) (15) Write down the Taylor series expansion of the function f(x) = 1 − 4x, about the point x0 = −3. Neglect terms of order four or higher. (b) (15) Write down the Taylor series expansion of the function f(x, y) = e−(x2 + y2), about the point (x0, y0) = (1, 2). Neglect terms of order three or higher.

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1.(a) (15) Write down the Taylor series expansion of the function f ( x ) = 1 − 4 x , about the point x 0 = − 3 . Neglect terms of order four or higher. (b) (15) Write down the Taylor series expansion of the function f ( x , y ) = e − ( x 2 + y 2 ) , about the point ( x 0 , y 0 ) = ( 1 , 2 ) . Neglect terms of order three or higher.

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