Solve the Problem $y = e ^ { - 4 x }$

question 52

Multiple Choice

Solve the problem.
-Find the center of mass of a thin infinite region in the first quadrant bounded by the coordinate axes and the curve $y = e ^ { - 4 x }$ if $\delta ( x , y ) = x y$ .

• A) \(\bar { x } = \frac { 1 } { 6 } , \bar { y } = \frac { 2 } { 9 }\)
• B) \(\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 8 } { 27 }\)
• C) \(\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 2 } { 9 }\)
• D) \(\bar { x } = \frac { 1 } { 6 } , \bar { y } = \frac { 8 } { 27 }\)

---

Definitions:

Self-Perception

An individual's understanding and assessment of their own personality, characteristics, and abilities.

Extrinsic Job Satisfaction

Satisfaction from external job factors such as pay, working conditions, and benefits, rather than the nature of the work itself.

Potential Status

A speculative measure of what status or level of achievement a person or thing could eventually realize or attain.

Ongoing Training

Continuous education and skill development activities provided to employees or individuals to enhance their job performance or personal growth.