Solve the Problem $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$

question 272

Multiple Choice

Solve the problem.
-The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.
Shell: portion of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ that lies in the first octant
Density: constant

• A) \(\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 1 } { 2 } \right)\)
• B) \(\left( \frac { 2 } { 3 } , \frac { 2 } { 3 } , \frac { 2 } { 3 } \right)\)
• C) \(( 1,1,1 )\)
• D) \(( 2,2,2 )\)

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Definitions:

Structured Design

A fundamental approach in software engineering where the structure of systems is based on the subdivision of problems into smaller problems.

Subproblems

Smaller parts of a larger problem, often used in dynamic programming and divide-and-conquer strategies to simplify complex problems.

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