Solve the Problem $0 \leq x \leq 8,0 \leq y \leq 7,0 \leq z \leq 9$

question 43

Multiple Choice

Solve the problem.
-Find the centroid of the rectangular solid defined by $0 \leq x \leq 8,0 \leq y \leq 7,0 \leq z \leq 9$ .

• A) \(\bar { x } = \frac { 8 } { 3 } , \bar { y } = \frac { 7 } { 3 } , \bar { z } = 3\)
• B) \(\bar { x } = 8 , \bar { y } = 7 , \bar { z } = 9\)
• C) \(\bar { x } = 2 , \bar { y } = \frac { 7 } { 4 } , \bar { z } = \frac { 9 } { 4 }\)
• D) \(\bar { x } = 4 , \bar { y } = \frac { 7 } { 2 } , \bar { z } = \frac { 9 } { 2 }\)

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Definitions:

Acetylcholine

A neurotransmitter in the nervous system that plays an important role in muscle activation and memory functions.

Neurotransmitter

A neurotransmitter is a chemical substance that transmits nerve impulses across a synapse from one neuron to another.

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A neurotransmitter that plays a key role in mood regulation, appetite, sleep, and other functions of the body.

Botulin

A highly toxic protein produced by the bacterium Clostridium botulinum, causing botulism.