Assuming That S Satisfies the Conditions of the Divergence Theorem $\iint _ { 5 } 3 \mathbf { a } \mathbf { n } d S$

question 18

Multiple Choice

Assuming that S satisfies the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second order partial derivatives, find $\iint _ { 5 } 3 \mathbf { a } \mathbf { n } d S$ , where a is the constant vector.

• A) 6
• B) 5
• C) 7
• D) 8
• E) 3

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Definitions:

Marrow

The soft tissue found in the hollow interior of bones where blood cells are produced.

Medullary Cavity

The central cavity of bone shafts where red bone marrow and/or yellow bone marrow (fat) is stored; also known as the marrow cavity.

Endosteum

A thin vascular membrane of connective tissue that lines the inner surface of bones, involved in bone growth and healing.

Flat Bones

Bones characterized by their thin, flattened shape, providing protection to internal organs and serving as areas for muscle attachment, examples include the skull, ribs, and pelvis.