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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 ?


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


2*3


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


 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 100a+b?


For two real numbers x and yf(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) (xy)^2



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



 


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) 5π/6

c) π/12

d) π/2

e) 5π/12

f) 0

g) π

h) -π/2










Let f(z)=z−1/z+1


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

1.

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



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

 looks like what?


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