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((2<45°)^2+(3<120°))/((3<120°)+(4<180°)) leave your answer in rectangular form

Convert ((1−i)/2) into trigonometric form.


If z=8(cos5π3+isin5π3), then z6 is equal to


2. Given z1 = 2∠45o


, ; z2 = 3∠120o and z3 = 4∠180o


. Determine the following and leave your


answers in rectangular form:


(i)


(z1)2 +z2


z2 +z3


(5)


(ii)


z1


z2z3


solve the cubic equation 2z3 -5z2+z-5=0


Convert (1−i)/2 into trigonometric form


a solution of 2z3+16i=0


given z1 = 2<45 degrees, z2 =3<120 degrees and z3 =4<180 degrees. determine the following and leave your answer in rectangular form.

  1. (z1)2+z2/z2+z3
  2. z1/z2z3


Evaluate the following integrals using residue theorem: (a) ∫∞−∞ x² /(x² +9)(x² +4)²dx

Given z1 = 2∠45o


, ; z2 = 3∠120o and z3 = 4∠180o


. Determine the following and leave your


answers in rectangular form:


(i)


(z1)^2+z2/(z2 +z3)



(ii)


z1/z2z3





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