Solve the Problem $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 36$

question 116

Multiple Choice

Solve the problem.
-Find the center of mass of the region of constant density bounded from above by the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 36$ and from below by the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ .

• A) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 9 } { 4 } ( 2 + \sqrt { 2 } )\)
• B) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 21 } { 8 } ( 2 + \sqrt { 2 } )\)
• C) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 15 } { 8 } ( 2 + \sqrt { 2 } )\)
• D) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 9 } { 8 } ( 2 + \sqrt { 2 } )\)

Describe different methodologies for fostering creativity individually and in groups.

Distinguish between different types of creativity, such as Csikszentmihalyi's "Big C" and "small c" creativity.

Explain the role of intrinsic and extrinsic motivation in the creative process.

Recognize the impact of perception and worldview on creativity.

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