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

question 211

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.
- $$f ( x , y , z ) = e ^ { 9 x + 7 y + 5 z } \text { at } ( 0,0,0 ) ; R : | x | \leq 0.1 , | y | \leq 0.1 , | z | \leq 0.1$$

• A) \(| E | \leq 34.3959\)
• B) \(| E | \leq 27.7813\)
• C) \(| E | \leq 29.7657\)
• D) \(| E | \leq 31.7501\)