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This section includes 3 Mcqs, each offering curated multiple-choice questions to sharpen your Laplace Transform Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
1. |
Find the \(L^{-1} \frac{s}{(s^2+4)^2}\). |
A. | \(\frac{1}{4} tcos(2t)\) |
B. | \(\frac{1}{4} tsin(t)\) |
C. | \(\frac{1}{4} tsin(2t)\) |
D. | \(\frac{1}{2} tsin(2t)\) |
Answer» D. \(\frac{1}{2} tsin(2t)\) | |
2. |
Find the \(L^{-1} (\frac{1}{s(s+4)^\frac{1}{2}})\), give the answer in terms of error function. |
A. | \(\frac{1}{2} erf(2t)\) |
B. | \(\frac{1}{2} erf(\sqrt{t})\) |
C. | \(\frac{1}{2} erf(2\sqrt{t})\) |
D. | \(\frac{1}{2} erf(4\sqrt{t})\) |
Answer» D. \(\frac{1}{2} erf(4\sqrt{t})\) | |
3. |
Find the \(L^{-1} (\frac{1}{s(s^2+4)})\). |
A. | \(\frac{1-sin(t)}{4}\) |
B. | \(\frac{1-cos(t)}{4}\) |
C. | \(\frac{1-sin(2t)}{4}\) |
D. | \(\frac{1-cos(2t)}{4}\) |
Answer» E. | |