Problems 13,19,25,31,37,43,49,55,

For the following exercises, plot the complex numbers on the complex plane. 13. 1 - 2i 14. -2 + 3i 15. i 16. -3 - 4i NUMERIC For the following exercises, perform the indicated operation and express the result as a simplified complex number. 17. (3 + 2i) + (5 - 3i) 18. (-2 - 47) + (1 + 6i) 19. (-5 + 3i) - (6 -i) 20. (2 - 3i) - (3 + 2i) 21. (-4 + 4i) - (-6+9i) 22. (2 + 3i)(4i) 23. (5 - 2i)(3i) 24. (6 - 21)(5) 25. (-2 + 4i) (8) 26. (2 + 3i)(4 - i) 27. (-1 + 2i)(-2+ 3i) 28. (4 - 21)(4 + 2i) 29. (3 + 4i) (3 - 4i) 30, 3 + 4i 31. 6 - 2i 2 3 32. -5 + 3i 33, 6 + 4i 34. 2 - 3i 2i 4+ 3i SECTION 3.1 SECTION EXERCISES 207 35. 3 + 4i 36. 2 + 3i 2 - i 2 - 3i 37. V-9+ 3 V-16 38. -V-4-4V-25 39. 2 + V-12 40. 4+ V-20 2 2 41. is 42. 215 43. 122 TECHNOLOGY For the following exercises, use a calculator to help answer the questions. 44. Evaluate (1 + i)* for k = 4, 8, and 12. Predict the 45. Evaluate (1 - i)* for k = 2, 6, and 10. Predict the value if k = 16. value if k = 14. 46. Evaluate (1 + i)* - (1 - i)* for k = 4, 8, and 12 . 47. Show that a solution of x + 1 = 0 is V3 + 1; Predict the value for k = 16. 2 48. Show that a solution of x8 - 1 = 0 is V2 + V/2; 2 2 EXTENSIONS For the following exercises, evaluate the expressions, writing the result as a simplified complex number. 49. 50. 21 51. i(1 + i)