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Find an Upper Bound for the Magnitude |E| of the Error

question 295

Multiple Choice

Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ≈ L(x, y) at the given point over the
given region R.
- f(x,y,z) =ln(2x+4y+2z)  at (1,1,1) ;R:x10.1,y10.1,z10.1f ( x , y , z ) = \ln ( 2 x + 4 y + 2 z ) \text { at } ( 1,1,1 ) ; R : | x - 1 | \leq 0.1 , | y - 1 | \leq 0.1 , | z - 1 | \leq 0.1

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