Question

If z = x + iy, find the following in rectangular form:

`"Im"(3z + 4bar(z) - 4"i")`

Answer 1

= Im (3(x + iy) + 4(x – iy) – 4i)

= Im (3x + 3iy + 4x – 4iy – 4i)

= Im (3x + 4 + i(3y – 4y – 4)

= Im (3x + 4x + i(– y – 4))

= Im [7x + i(– y – 4)]

= – y – 4

= – (y + 4)