Find the Average Value of F(x, Y, Z) Over the Given

question 166

Multiple Choice

Find the average value of F(x, y, z) over the given region.
- $F ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$ over the rectangular solid in the first octant bounded by the coordinate planes and the planes $x = 9 , y = 6 , z = 7$

• A) 88
• B) \(\frac { 166 } { 3 }\)
• C) \(\frac { 238 } { 3 }\)
• D) \(\frac { 328 } { 3 }\)

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Definitions:

Retinal Tissues

Layers of cells within the retina, responsible for sensing light and converting it into neural signals for visual perception.

Vascular

Relating to the body's blood vessels and the circulation of blood throughout the body.

Mitochondrion

An organelle found in large numbers in most cells, in which the biochemical processes of respiration and energy production occur.

Cytoplasm

Cellular matter, not including the nucleus of a cell.