Practice Common Notation (1.4) - Laplace Transforms & Applications

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6 sample questions

Question 1.
What does the notation ℒ{𝑓(𝑡)} represent?
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Think about what transformation is occurring.
Question 2.
Write the inverse Laplace transform notation.
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Consider how to go back to the time-domain.
3Question 3.
What does ℒ{𝑓(𝑡)} represent?
- Time-domain function
- s-domain function
- Inverse function
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Think about the direction of the transformation.
4Question 4.
True or False: The inverse Laplace transform is denoted as ℒ{𝐹(𝑠)}.
- True
- False
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Recall the notation we just covered.
Question 5.
Demonstrate the process of applying the Laplace Transform to f(t) = e^{-2t} + 5.
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Break it down into separate transforms.
Question 6.
If ℒ{𝑓(𝑡)} = 2/s^2 + 1/s, what is f(t)? Work through the inverse transform.
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Recall basic inverse transforms of polynomials and constants.

4 more questions in this section. Enroll free to practise them all.