Find the Center of Mass of the Lamina Bounded by the Graphs

question 68

Multiple Choice

Find the center of mass of the lamina bounded by the graphs of the equations $x = 64 - y ^ { 2 }$ and $x = 0$ for the density $\rho = k x$

• A) \(\left( \frac { 128 } { 7 } , 0 \right)\)
• B) \(\left( 0 , \frac { 128 } { 7 } \right)\)
• C) \(\left( \frac { 32 } { 7 } , 0 \right)\)
• D) \(\left( 0 , \frac { 256 } { 7 } \right)\)
• E) \(\left( \frac { 256 } { 7 } , 0 \right)\)

---

Definitions:

Goal Achievement

The process of setting, pursuing, and attaining objectives or end results, often involving specific steps or strategies to increase the likelihood of success.

HR Analytics

The process of collecting and analyzing Human Resource data to improve an organization's workforce performance.

Human Resource Division

The department within an organization that is responsible for managing employee-related functions, such as recruitment, training, and benefits.