Find in the form of red, the six complex numbers which satisfy the equation 2° +32+32( V3 )i = Hence show that the values of w satisfying the equation (w-1) = [-32(J3)i–32](w+1)* k 1 where a = 3 9 3 have real parts given by T and 4 cosa - 5 k = 0, 1, 2, 3, 4, 5.

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Q: 1. Consider the nonzero complex numbers z1 = 3i, z2 = 6i and z3 = 4i. (a) Evaluate (z,z,z3) (1 + z2…

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A: The solution is as follows below :

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Q: (a) Find in the form of re'", the six complex numbers which satisfy the equation z° +32+ 32( v3 )i =…

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Q: 9. (1+iv3), 10. 4 11. (-1)4. 12. (-1-i) 13. (-i). 14. (4+4i)4.

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Q: a) f(z) = 14/(z2 + 2z + 2) is a complex function, find (1/Tt) S-00° 14/(x2 + 2x + 2)dx %3D

A: Given:  f(z)=14z2+2z+2  1π∫-∞∞ 14x2+2x+2dx