Find the Average Value of the Function Over the Region $\mathrm { f } ( \mathrm { r } , \theta , \mathrm { z } ) = \mathrm { r }$

question 155

Multiple Choice

Find the average value of the function over the region.
- $\mathrm { f } ( \mathrm { r } , \theta , \mathrm { z } ) = \mathrm { r }$ over the region bounded by the cylinder $\mathrm { r } = 6$ between the planes $\mathrm { z } = - 3$ and $\mathrm { z } = 3$

• A) 4
• B) \(864 \pi\)
• C) 9
• D) 6

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Definitions:

Conciliation

A conflict resolution process where disputing parties come to a mutual agreement to reach a peaceful settlement.

GRIT

A psychological trait combining passion and perseverance towards long-term goals, emphasizing stamina in character.

Tension-Reduction

The process of relieving stress or emotional tension, often through specific actions or techniques.

Conciliation

Efforts made to ease tension, resolve disputes, or reconcile differences between conflicting parties.