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L^{-1} 1/s^{2}+4s+4 }.
A) te^-2t. B)te^2t. C)te^4t. D) te^-4t.
If F(s)=s^{2}+2/s(2s^{2}-7s+5) ther limt→0f(t).
A)0. B) 2/5. C)1/2. D)does not exist
Laplace transform of ∫0^{t}cos3t dt is.
A)s/s^2 +9. B)3/s^2 +9. C) 1/s(s^2 +9). D) 1/s^2 +9.
∮|z|=1 (z+z̄)dz
A)0. B) πi. C). 2πi. D)3πi
The residue at z=1 of the function 2z/(1-z)(z+1).
A)2. B)-2. C)1. D)-1
The radius of convergence of the Taylor series expansion of the functiorf(z)=3z+5/(z+1)^{2} (z-2) about z=1 is.
A)1. B)2. C)3.
D) Infinity
limz→0 z^{2}-sinz/z.
A)0.
B)-1.
C)2.
D) Does not exist
Which of the following function is NOT an entire function. A. Ln(z) B. e^{z^{2}} C cosz D. z^{3}+5z
The complete integral of √p+√q=3x is. A)z=1/9(a+3x)^3+a^2y +b. B))z=1/3(a+3x)^3+a^2y +b.
C) z=1/6(a+3x)^3+a^2y +b. D)z=1/2(a+3x)^3+a^2y +b.
The differential equation of (x-a)^{2}+(y-b)^{2}+z^{2}=2019 where a, b are arbitrary constants is.
A) z^2(p^2+q^2)=1. B)z^2(p^2+q^2)=2019.
C) z^2(p^2+q^2+1)=1.
D) z^2(p^2+q^2+1)=2019
