Find the Average Value of the Function F Over the Given

question 69

Multiple Choice

Find the average value of the function f over the given region.
- $f ( x , y ) = \sin \frac { 7 } { 2 } ( x + y )$ over the square $0 \leq x \leq \frac { \pi } { 7 } , 0 \leq y \leq \frac { \pi } { 7 }$ .

• A) \(4 \pi ^ { 2 }\)
• B) \(\pi ^ { 2 }\)
• C) \(\frac { 8 } { \pi ^ { 2 } }\)
• D) \(\frac { 6 } { \pi ^ { 2 } }\)

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Definitions:

Oligodendrocytes

Glial cells in the central nervous system that produce myelin, a substance that forms a sheath around nerve fibers to facilitate electrical impulse conduction.

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Type of glial cell in the brain and spinal cord that performs multiple supportive functions for neurons, including maintaining the blood-brain barrier and regulating neurotransmitter levels.

Microglia

Specialized type of glial cell that acts as the main form of active immune defense in the central nervous system.