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 38

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) \(0.7622\)

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Definitions:

Ego

In psychoanalytic theory, the part of the personality that mediates between the demands of the id, superego, and reality.

Id

A component of Sigmund Freud's psychoanalytic theory, representing the instinctual drives and unconscious desires.

Libido

According to Freud, psychical energy derived from physiological drives.

Pleasure Principle

A concept in psychoanalytic theory referring to the instinctive drive to seek pleasure and avoid pain.