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

question 255

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.
- $f ( x , y ) = e ^ { 7 x + 10 y }$ at $( 0,0 ) ; R : | x | \leq 0.1 , | y | \leq 0.1$

• A) \(| E | \leq 10.9479\)
• B) \(| E | \leq 19.1588\)
• C) \(| E | \leq 38.3176\)
• D) \(| E | \leq 21.8958\)

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