The Laplace Transform Of $e ^ { t } t ^ { 3 } + \sin ( 3 t )$

question 4

Multiple Choice

The Laplace transform of $e ^ { t } t ^ { 3 } + \sin ( 3 t )$ is

• A) \(3 / ( s - 1 ) ^ { 3 } + 1 / \left( s ^ { 2 } + 9 \right)\)
• B) \(3 / ( s - 1 ) ^ { 4 } + 1 / \left( s ^ { 2 } + 9 \right)\)
• C) \(6 / ( s - 1 ) ^ { 3 } + 3 / \left( s ^ { 2 } + 9 \right)\)
• D) \(6 / ( s - 1 ) ^ { 4 } + 3 / \left( s ^ { 2 } + 9 \right)\)
• E) \(6 / ( s - 1 ) ^ { 4 } + 9 / \left( s ^ { 2 } + 9 \right)\)