Practice First Shifting Theorem (laplace Domain Shift) (1.3)

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6 sample questions

Question 1.
Find the Laplace Transform of e^(2t) using the First Shifting Theorem.
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Start with the base transform of a constant.
Question 2.
What happens to the Laplace Transform if f(t) = e^(3t) multiplied by t?
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Look at the basic transformation of t.
3Question 3.
What is the result of applying the First Shifting Theorem to e^(2t)sin(bt)?
- (s-2)^2 + b^2
- s^2 + b^2
- s + 2 + b
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Look at how multiplication affects the Laplace domain.
4Question 4.
True or False: The First Shifting Theorem applies only to polynomial functions.
- True
- False
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Think about all types of functions affected by the theorem.
Question 5.
Find the Laplace Transform of the function e^(5t) * cos(3t).
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Start with the basic transform of cos(3t) and adjust for the shifting.
Question 6.
Use the First Shifting Theorem to find the Laplace Transform of e^(-t) * e^(2t).
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Deal with each exponential term before applying the theorem.

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