Numerical & Advanced

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  1. 1.

    If |z - 1|/|z + 1| = 2, the locus of z is a circle with center:

  2. 2.

    (1+i)^{2n} + (1-i)^{2n} for positive integer n equals:

  3. 3.

    arg((1+i*sqrt(3))/(1-i)) equals:

  4. 4.

    |1 1 1; 1 w w^2; 1 w^2 w^4| where w is a primitive cube root of unity equals:

  5. 5.

    The sum of the 5th roots of 32 is:

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