Mathematics - Complex Analysis - Complex numbers - Complex Calculations

12 problems: (1-2) Add: (3+2i)+(1-4i), (5-i)+(-2+3i). (3-4) Multiply: (2+3i)(1-i), (1+i)². (5) Divide: (4+2i)/(1-i). (6-7) Find modulus and argument: |3+4i|, arg(1+i). (8) Convert to polar: -1+i. (9) Convert to rectangular: 2e^(iπ/3). (10) Powers: (1+i)⁸ using polar form. (11) Find all cube roots of