The Laplace Transform Of $t ^ { 2 } \cos ( 4 t )$

question 20

Multiple Choice

The Laplace transform of $t ^ { 2 } \cos ( 4 t )$ is

• A) \(\left( 2 / s ^ { 3 } \right) s / \left( s ^ { 2 } + 16 \right)\)
• B) \(\left( 2 / s ^ { 2 } \right) s / \left( s ^ { 2 } + 16 \right)\)
• C) \(8 / \left( s ^ { 3 } \right) \left( s ^ { 2 } + 16 \right)\)
• D) \(\left( 2 s ^ { 3 } - 32 s \right) / \left( s ^ { 2 } + 16 \right) ^ { 3 }\)
• E) \(\left( 2 s ^ { 3 } - 96 s \right) / \left( s ^ { 2 } + 16 \right) ^ { 3 }\)

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