Find the Mass of the Lamina Bounded by the Graphs $y = e ^ { - x } , y = 0 , x = 0$

question 65

Multiple Choice

Find the mass of the lamina bounded by the graphs of the equations $y = e ^ { - x } , y = 0 , x = 0$ , and $x = 6$ for the density $\rho = k y ^ { 2 }$

• A) \(\frac { 1 } { 9 } \left( 1 - e ^ { 12 } \right) k\)
• B) \(\frac { 1 } { 3 } \left( 1 - e ^ { 18 } \right) k\)
• C) \(\frac { 1 } { 9 } \left( - 1 + e ^ { - 18 } \right) k\)
• D) \(\frac { 1 } { 3 } \left( - 1 + e ^ { - 12 } \right) k\)
• E) \(\frac { 1 } { 9 } \left( 1 - e ^ { - 18 } \right) k\)

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