The Laplace Transform Of $t ^ { 2 } \sin ( 3 t )$

question 31

Multiple Choice

The Laplace transform of $t ^ { 2 } \sin ( 3 t )$ is

• A) \(\left( 18 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 3 }\)
• B) \(\left( 18 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 2 }\)
• C) \(\left( 30 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 2 }\)
• D) \(\left( 30 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 3 }\)
• E) \(\left( 12 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 3 }\)

Calculate the standard deviation and mean from sample data.

Understand the differences between one-tailed and two-tailed tests.

Compute the standard error of the sample proportion or mean.

Evaluate the legitimacy of claims based on statistical tests.

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