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Complex Analysis

There are 100 pappadam at a kalyaana beef.. for a man .. u should give 10 pappadams.. for a woman .. u should give 5 pappadams .. and for a kid .. you should give 1/2 ( half ) pappadam.. and 100 people who went to the kalyanam got pappadam too .. how many men, women and children were there in this 100 people ?

Complex Analysis

n an expression 2[2+2{39-2(17+2)}], which part has to be simplified first

Complex Analysis

2*3

Complex Analysis

Solvetheequationsbelowandhence,showthesolutionsoftheseequationsontheArganddiagram:(i)z4−i=0(ii)z3=−√3−i(iii)z5=−18i(iv)z=16i1+i18(v)z=1+i√3+i16

Complex Analysis

Given that *f*(*z*) is holomorphic everywhere except at *z*=−1, the value of ∂*v/*∂*y*−∂*v/*∂*x* at the point (1,1) can be written as *a/b* where *a *and *b *are coprime positive integers. What is 100*a*+*b*?

Complex Analysis

For two real numbers *x *and *y*, *f*(*x*+*iy*) can be written as *u*(*x*,*y*)+*iv*(*x*,*y*) where *u* and v are functions of real variables.

What is ((*x*+1)^2+*y^*2)*u*(*x*,*y*)?

a) (*x*+1)^2+*y^2*

b) *x^*2+*y^*2−1

*c) y^*2−*x*^2+1

d) (*x*−*y*)^2

Complex Analysis

A *fixed point* of *f*(*z*) is a complex number *z* such that *f*(*z*)=*z*. How many fixed points does *f*(*z*) have?

Complex Analysis

Let *α* be a complex number that satisfies both the equations from the previous question. Which of the following are possible arguments of the cube roots of *α*?

a) *π/*6

b) 5*π/6*

*c) π/*12

d) *π/*2

e) 5*π/12*

*f) 0*

*g) π*

h) -*π/2*

Complex Analysis

Let *f*(*z*)=*z*−1/*z*+1

. The questions that follow will all revolve around this complex-valued function.

1.

The value of 25*f*(2+4*i*) is equal to *a*+*ib *where *a*,*b*∈R, and *i^*2=−1. What is the value of 10*a*+*b*?

Complex Analysis

Let w=f(z)=z^2+6+6i is a complex function. Then the image of the line x=5

looks like what?