(a) (23 points) Suppose z = x + iy, where x and y are real. Write...

 

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(a) (23 points) Suppose z = x + iy, where x and y are real. Write the following complex numbers in the Cartesian form a + ib, where a and b are real: (al) 2+2 1 + z' (a2) (1 + i) 2023 (b) (4 points) Describe and sketch the region of the C-plane corresponding to (1) 2 +1 < 1. (2) (a) (23 points) Suppose z = x + iy, where x and y are real. Write the following complex numbers in the Cartesian form a + ib, where a and b are real: (al) 2+2 1 + z' (a2) (1 + i) 2023 (b) (4 points) Describe and sketch the region of the C-plane corresponding to (1) 2 +1 < 1. (2)