Use the Midpoint Rule with Four Squares of Equal Size $$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.5,0 \leq y \leq 0.5 \}$$

question 39

Multiple Choice

Use the Midpoint Rule with four squares of equal size to estimate the double integral. $$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.5,0 \leq y \leq 0.5 \}$$

• A) \(0.575\)
• B) \(0.6622\)
• C) \(0.2499\)
• D) \(0.4721\)
• E) \(0.7622\)

---

Definitions:

Biological Control

The process of controlling pests and diseases using other living organisms, such as predators, parasites, or pathogens.

Self-Perpetuating

A process or mechanism that has the ability to continue indefinitely without external input, often through a cycle that sustains itself.

Pesticide Poisoning

A health condition caused by exposure to harmful chemicals used to kill pests, which can lead to a range of acute or chronic symptoms.

Developing Countries

Nations with a lower level of industrialization, lower standard of living, and generally lower Human Development Index than developed countries.