Practice Additional Exercise (practice) (1.11) - Topic 3: First Shifting Theorem

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6 sample questions

Question 1.
Find the Laplace Transform of e^(3t) * f(t) where f(t) = 1.
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Use the shift for e^(3t).
Question 2.
What is ℒ{e^(5t) * cos(t)}?
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Start with the transform of cos(t).
3Question 3.
What is the result of ℒ{e^(2t)sin(3t)}?
- 3/(s-2)^2 + 9
- 3/(s+2)^2 + 9
- 3/(s-2) + 9
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Start with the basic sin transform.
4Question 4.
True or False: ℒ{e^(-3t)cos(4t)} = (s+3)/(s^2 + 16)
- True
- False
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Check the parameters for the cosine function.
Question 5.
Find the Laplace Transform of e^(5t) * e^(-2t) * sin(3t).
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Combine the exponentials first before applying the theorem.
Question 6.
Determine the Laplace Transform of the function e^(3t) * cos(2t) + e^(-t) * t.
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Break down the problem into two parts first.

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