Let and B Be a Sphere of Radius R

question 63

Multiple Choice

Let and B be a sphere of radius R centered at the origin.
Referring to the integral , which of the following statements is correct?

• A) since
• B) by the Divergence Theorem.
• C) The Divergence Theorem cannot be applied and by direct computation.
• D) The integral is not defined since is not defined at the origin.
• E) and violate the Divergence Theorem.

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Definitions:

Arbitrary

Based on random choice or personal whim, rather than any reason or system.

Vary

To change or alter in form, appearance, or nature, often within certain limits.

Borders

Decorative or functional frames around text, images, or pages that enhance visual appeal and clarity.

Emphasize

To give special importance or prominence to something in speaking or writing.