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Complex Analysis
Locate and name the singularities of the following functions in the finite z-plane:
i) ln(z+3i)/z²
ii) (z²-2z)/(z²+2z+2)
i) ln(z+3i)/z²
ii) (z²-2z)/(z²+2z+2)
Complex Analysis
For the operator A=ax+ibp, where a and b are constants, calculate [A,x] and [A,A]
Complex Analysis
simplify this complex number
cos3x + jsin3x / cosx + jsinx
cos3x + jsin3x / cosx + jsinx
Complex Analysis
Evaluate |3+4i|
Complex Analysis
please solve iⁱ
Complex Analysis
Given f(z) = x²+y²-2x+4+i(2xy-2y)
Express both f(z) and f'(z) in terms of the complex variable z=x+iy
Express both f(z) and f'(z) in terms of the complex variable z=x+iy
Complex Analysis
Find the sum of fifth roots of unity?
Complex Analysis
Find the sum of the 5th roots of unity.
Complex Analysis
Apply De Moivre’s theorem to write (√3+i)^5 in the form a + ib , with
a, b∈ R
a, b∈ R
Complex Analysis
Obtain the polar and exponential representations of z1, z2, and z1z2 where z1=1/2 - 2i, and z2=3+i
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