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

question 250

Multiple Choice

Find the average value of F(x, y, z) over the given region.
-F(x, y, z) = 9x + 10y + 3z over the rectangular solid in the first octant bounded by the coordinate planes and the planes x = 4, y = 7, z = 6

• A) 97
• B) \(\frac { 124 } { 3 }\)
• C) 62
• D) 132

---

Definitions:

Coup Effects

Injuries to the brain occurring under the site of impact with an object, part of the broader phenomenon including both coup and contrecoup injuries in head traumas.

Contrecoup Effects

Refers to injuries that occur on the side of the brain opposite to where an impact occurs, typically associated with traumatic brain injuries.

Traumatic Brain Injury

Damage to the brain resulting from an external mechanical force, potentially causing temporary or permanent impairment of cognitive, physical, and psychosocial functions.

Epilepsy

A neurological disorder characterized by recurrent, unprovoked seizures due to abnormal brain activity.