\(\frac{k}{s^2 + k^2}\) is the Laplace transform of:
A\(\cos kt\)
B\(\sin kt\)
C\(e^{kt}\)
D1.0
Mathematics · Question Bank
Advanced Engineering Mathematics
28 of 84 questions match · page 2 of 2. Answer in your head first, then check the solution.
The Laplace transform of \(\cos \omega t\) is
A\(\frac{s}{s^2 + \omega^2}\)
B\(\frac{\omega}{s^2 + \omega^2}\)
C\(\frac{\omega}{s + \omega}\)
D\(\frac{s}{s + \omega}\)
The inverse Laplace transform of \(\frac{s}{s^2 + \omega^2}\) is
A\(\sin \omega t\)
B\(\omega\)
C\(e^{\omega t}\)
D\(\cos \omega t\)
Which one is not a fourth root of unity?
A1
B−1
Ci
D\(\dfrac{i}{\sqrt{2}}\)
If in the Fourier series of a periodic function the coefficient \(a_0\) is zero, it means that the function has
Aodd symmetry
Beven quarter-wave symmetry
Codd-quarter wave symmetry
Dany of the above
If in the Fourier series of a periodic function the coefficients \(a_0 = 0\) and \(a_n = 0\), then it must be having _____ symmetry.
Aodd
Bodd-quarter wave
Ceven
Deither A or B
If the Fourier coefficient \(b_0\) of a periodic function is zero, then it must possess _____ symmetry.
Aeven
Beven-quarter-wave
Codd
Deither A or B
Which one is not a fourth root of unity?
Ai
B1
C\(\dfrac{i}{\sqrt{2}}\)
D−i