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The differential equation of (x-a)^{2}+(y-b)^{2}+z^{2}=21. A)z^2(p^2+q^2)=1. B)z^2(p^2+q^2)=21. C))z^2(p^2+q^2+1)=1. D))z^2(p^2+q^2+1)=21.


∫0^{π}cos3t 𝛿(t-2π) dt. A)-1. B)0. C)1. D) infinity


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

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