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

question 86

Multiple Choice

Find the center of mass of the lamina bounded by the graphs of the equations $y = e ^ { x } , y = 0 , x = 0$ , and $x = 20$ for the density $\rho = k$

• A) \(\left( \frac { 1 - 21 e ^ { 21 } } { e ^ { 20 } - 1 } , \frac { e ^ { 21 } + 1 } { 2 } \right)\)
• B) \(\left( \frac { 1 + 19 e ^ { 20 } } { e ^ { 20 } - 1 } , \frac { e ^ { 20 } + 1 } { 4 } \right)\)
• C) \(\left( \frac { 1 - 19 e ^ { 20 } } { e ^ { 20 } + 1 } , \frac { e ^ { 20 } - 1 } { 4 } \right)\)
• D)\(\left( \frac { 1 + 21 e ^ { 21 } } { e ^ { 20 } - 1 } , \frac { e ^ { 21 } - 1 } { 4 } \right)\)
• E) \(\left( \frac { 1 + 19 e ^ { 20 } } { e ^ { 20 } + 1 } , \frac { e ^ { 20 } + 1 } { 2 } \right)\)

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