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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


The differential equation x^{2}yux+f(u)uy=xy^{2}u is A) Linear equation.
B) Semi- linear equation.
C) Quasi-Linear equation.
D)Non- linear equation
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