Chemical Engineering Answers

∮|z|=1 (2z+z̄)dz `.

A)0. B)πi. C)2πi. D)4πi

`Let f(z)=sinz/z^{4} . Then z=0 is`. A)simple pole. B) pole of 3 rd order. C)pole of 4th order. D) Essential singularity

`The radius of convergence of the Taylor series expansion of the function f(z)=4z^{2}+3z/(z-1)^{2}(z+4)(z-3) abou z=-1 is.

A)0.

B)2

C)3

D) infinity

Which of the following function is not the real part of an analytic function. A)x^2+ y^2+2021. B)1/1+x^2+y^2. C)sin x cosh y. D)x+y/x^2+y^2

The function f(z)=|z|^{2} is differentiable.

A)only at z=0. B) nowhere.

C) everywhere. D)only at z=1

The solution of p^{2}+q^{2}=2 is. A)z=ax+(2-a)y+b

B)z=ax+(2-a)^2y+ b. C)z=ax+by. D))z=ax+(✓2-ay+ b

The singular integral of z=xp+yq-logpq. A)z= x^2+y^2. B)z= x^2-y^2. C)z= x^2+y^2-logxy.

D)z= x^2-y^2-logxy.

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.