Determine the inverse Laplace transform of \(I(s) = \frac{200}{s^2 - 50s + 10625}\)
A\(I(t) = 2e^{25t} \sin 100t\)
B\(I(t) = 2t e^{25t} \sin 100t\)
C\(I(t) = 2e^{25t} \cos 100t\)
D\(I(t) = 2t e^{25t} \cos 100t\)
Mathematics · Question Bank
Advanced Engineering Mathematics
64 questions · page 4 of 4. Answer in your head first, then check the solution.
The inverse Laplace transform of \(\frac{s}{s^2 + \omega^2}\) is
A\(\sin \omega t\)
B\(\omega\)
C\(e^{\omega t}\)
D\(\cos \omega t\)
Find the inverse Laplace transform of \(\frac{2s-18}{s^2+9}\) as a function of x.
A\(2 \cos x - \sin 3x\)
B\(2 \cos 3x - 6 \sin 3x\)
C\(3 \cos 2x - 2 \sin 6x\)
D\(6 \cos x - 3 \sin 2x\)
Determine the inverse Laplace transform of \(\frac{1}{4s^2 - 8s}\)
A\(\frac{1}{4} e^t \sinh t\)
B\(\frac{1}{2} e^{2t} \sinh t\)
C\(\frac{1}{4} e^t \cosh t\)
D\(\frac{1}{2} e^{2t} \cosh t\)