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

question 272

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.
- $$f ( x , y ) = 4 x + 7 y - 5 \text { at } ( 10 , - 9 ) ; R : | x - 10 | \leq 0.1 , | y + 9 | \leq 0.1$$

• A) \(| E | \leq 0.01\)
• B) \(| E | \leq 0.04\)
• C) \(| E | \leq 0\)
• D) \(| E | \leq 0.02\)

---

Definitions:

Conflict Management Style

The approach and techniques an individual or group uses to handle disagreements or disputes.

Intermediate Levels

Positions or stages that are between the initial and final stages in a process, system, or hierarchy.

Compromise

A conflict management style that combines intermediate levels of assertiveness and cooperation.

Power Differences

The disparities in authority, control, and influence among individuals or groups within organizations or societies.