In each of Problems 1 through 10, carry out the indicated calculation. 1. (3 4i)(6 +
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In each of Problems 1 through 10, carry out the indicated calculation.
1. (3 − 4i)(6 + 2i)
2. i(6 − 2i) + |1 + i|
3. (2 + i)/(4 − 7i)
4. ((2 + i) − (3 − 4i))/(5 − i)(3 + i)
5. (17 − 6i)(−4 − 12i)
6. |3i/(−4 + 8i)|
7. i 3 − 4i 2 + 2
8. (3 + i)3
9. ((−6 + 2i)/(1 − 8i))2
10. (−3 − 8i)(2i)(4 − i)
In each of Problems 11 through 16, determine the magnitude and all of the arguments of z.
11. 3i
12. −2 + 2i
13. −3 + 2i
14. 8 + i
15. −4
16. 3 − 4i
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