Consider the squaring iterations of complex numbers where the fixed point is zero. Without computing, the squares/iterations, would the following starting points yield a bounded or unbounded iteration? Explain your reasoning for each. a) 4 + 0.3i b) 0.1 + 0.3i c) 8/10 +6/10 i d) 3i

SOLVE STEP BY STEP IN DIGITAL FORMAT 4. Show that any complex number of norm 1 (except -1) can be written in the form z = (1 + it)/(1 - it) for some t E R.

4. Find the modulus, Izl, and argument, 6, of the complex number. -1+i One charaes 4.6

5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for 128j. Hint: Express 7 as 7e2nk for k = 0, 1, 2, , 6 (Why is this correct?) and find the roots for each case. The roots must all fall on a circle on the complex plane. How would you do similarly for 128j?