Math  /  Calculus

QuestionQuestion 1
Find the Laplace Transform of t3(2e1At+(sinBt)(cosBt))t^{3}\left(2 e^{1-A t}+(\sin B t)(\cos B t)\right) given that: A=9B=5\begin{array}{l} A=9 \\ B=5 \end{array}
Assumes that s=4.722s=4.722
Round your answer to 4 decimal places.

Studdy Solution
Add the results:
0.000922+0.0020060.002928 0.000922 + 0.002006 \approx 0.002928
The Laplace Transform of t3(2e19t+(sin5t)(cos5t)) t^3 \left(2 e^{1 - 9t} + (\sin 5t)(\cos 5t)\right) at s=4.722 s = 4.722 is approximately 0.0029 0.0029 (rounded to 4 decimal places).

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