Use the Midpoint Rule with Four Squares of Equal Size $$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.4,0 \leq y \leq 0.4 \}$$

question 47

Short Answer

Use the Midpoint Rule with four squares of equal size to estimate the double integral.
$$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.4,0 \leq y \leq 0.4 \}$$

---

Definitions:

Fair Trial

A legal proceeding in which the rights of the accused are safeguarded by impartiality, due process, and adherence to established legal procedures.

Model Rule

A standardized guideline or regulation designed for adoption or adaptation by various organizations or governmental bodies.

Model Rule 1.3

A guideline within the Model Rules of Professional Conduct that requires a lawyer to act with diligence and promptness in representing a client.

Reasonable Diligence

The level of care or effort that is expected from an individual in a particular situation, which is considered to be sensible and appropriate.