Evaluate the Surface Integral of the Function G Over the Surface

question 58

Multiple Choice

Evaluate the surface integral of the function g over the surface S.
-G(x, y, z) = x + z; S is the surface of the wedge formed from the coordinate planes and the planes x + z = 3 and y = 5

• A) \(63 + 45 \sqrt { 2 }\)
• B) \(72 + 45 \sqrt { 2 }\)
• C) \(63 + 15 \sqrt { 2 }\)
• D) \(\frac { 81 } { 2 } + 45 \sqrt { 2 }\)

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Definitions:

Somatic Motor Nervous System

A part of the peripheral nervous system that controls voluntary movements of the body by innervating skeletal muscles.

Conscious Movement

Voluntary actions and movements controlled by the brain, reflecting awareness and intent.

Receptor Molecules

Proteins located either on the cell surface or inside of a cell that bind to specific molecules like hormones, neurotransmitters, or drugs, initiating a physiological response.

Muscarinic

Relating to or denoting the type of acetylcholine receptor found in various organs that responds to muscarine.