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Construct an entire function f in complex with simple zeros at an = n^(1/2) for n belongs to natural numbers and no other zeros

Obtain the 6th roots of -7 , and represent them in an Argand diagram.


Obtain the 6th roots of (−7) , and represent them in an Argand diagram.
Find the angle between the vectors αÌ…=2i+2j−k and\eta=6i−3j+2k. a.\\(75^0\\) approximately b.\\(78^0\\) approximately c.\\(70^0\\) approximately d.\\(79^0\\) approximately
Using the method of residues, show that: Integral( 0 to infinity )(dx/1+x^2)=pie/2
Obtain the Laurent series expansion of the function e^z/(z-2)^2 about the singularity z =2
Evaluate the integral Integral [(5z^2-3z+2)]/[(z-1)^3] dz Close curve C where C is any simple closed curve enclosing z = 1.
Given that (z_1=r_1(cos∅_1+isin∅_1 and (z_2=r_2(cos∅_2+isin∅_2) evaluate (z_1z_2)
Find the fifth root of -1
Find the polar form of complex number (2+2isqrt(3))
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