Problem 1TI: Plot the point 1+5i in the complex plane. Problem 2TI: Find the absolute value of the complex number z=125i . Problem 3TI: Given z=17i , find |z| . Problem 4TI: Express z=3iasrcis in polar form. Problem 5TI: Write z=3+i in polar form. Problem 6TI: Convert the complex number to rectangular form: z=4(cos116+isin116) Problem 7TI: Find the product and the quotient of z1=23(cos(150)+isin(150)) and z2=2(cos(30)+isin(30)) Problem 8TI: Find the four fourth roots of 16(cos(120)+isin(120)) . Problem 1SE: A complex number is a + bi. Explain each part. Problem 2SE: What does the absolute value of a complex number represent? Problem 3SE: How is a complex number converted to polar form? Problem 4SE: How do we find the product of two complex numbers? Problem 5SE: What is De Moivre’s Theorem and what is it used for? Problem 6SE: For the following exercises, find the absolute value of the given complex number. 6. 5+3i Problem 7SE: For the following exercises, find the absolute value of the given complex number. 7. 7+i Problem 8SE: For the following exercises, find the absolute value of the given complex number. 8. 33i Problem 9SE: For the following exercises, find the absolute value of the given complex number. 9. 26i Problem 10SE: For the following exercises, find the absolute value of the given complex number. 10. 2i Problem 11SE: For the following exercises, find the absolute value of the given complex number. 11. 2.23.1i Problem 12SE: For the following exercises, write the complex number in polar form. 12. 2+2i Problem 13SE: For the following exercises, write the complex number in polar form. 13. 84i Problem 14SE: For the following exercises, write the complex number in polar form. 14. 1212i Problem 15SE: For the following exercises, write the complex number in polar form. 15. 3+i Problem 16SE: For the following exercises, write the complex number in polar form. 16. 3i Problem 17SE: For the following exercises, convert the complex number from polar to rectangular form. 17.... Problem 18SE: For the following exercises, convert the complex number from polar to rectangular form 18. z=2cis(3) Problem 19SE: For the following exercises, convert the complex number from polar to rectangular form. 19.... Problem 20SE: For the following exercises, convert the complex number from polar to rectangular form 20.... Problem 21SE: For the following exercises, convert the complex number from polar to rectangular form 21.... Problem 22SE: For the following exercises, convert the complex number from polar to rectangular form. 22.... Problem 23SE: For the following exercises, find z1z2 in polar form. 23. z1=23cis(116);z2=2cis(82) Problem 24SE: For the following exercises, find z1z2 in polar form. 24. z1=2cis(205);z2=22cis(118) Problem 25SE: For the following exercises, find z1z2 in polar form. 25. z1=3cis(120);z2=14cis(60) Problem 26SE: For the following exercises, find z1z2 in polar form. 26. z1=3cis(4);z2=5cis(6) Problem 27SE: For the following exercises, find z1z2 in polar form. 27. z1=5cis(58);z2=15cis(12) Problem 28SE: For the following exercises, find z1z2 in polar form. 28. z1=4cis(2);z2=2cis(4) Problem 29SE: For the following exercises, find z1z2 in polar form. 29. z1=21cis(135);z2=3cis(65) Problem 30SE: For the following exercises, find z1z2 in polar form. 30. z1=2cis(90);z2=2cis(60) Problem 31SE: For the following exercises, find z1z2 in polar form. 31. z1=15cis(120);z2=3cis(40) Problem 32SE: For the following exercises, find z1z2 in polar form. 32. z1=6cis(3);z2=2cis(4) Problem 33SE: For the following exercises, find z1z2 in polar form. 33. z1=52cis();z2=2cis(23) Problem 34SE: For the following exercises, find z1z2 in polar form. 34. z1=2cis(35);z2=3cis(4) Problem 35SE: For the following exercises, find the powers of each complex number in polar form. 35. Find z3 when... Problem 36SE: For the following exercises, find the powers of each complex number in polar form. 36. Find z4 when... Problem 37SE: For the following exercises, find the powers of each complex number in polar form. 37. Find z2 when... Problem 38SE: For the following exercises, find the powers of each complex number in polar form. 38. Find z2 when... Problem 39SE: For the following exercises, find the powers of each complex number in polar form. 39. Find z4 when... Problem 40SE: For the following exercises, find the powers of each complex number in polar form. 40. Find z3 when... Problem 41SE: For the following exercises, evaluate each root. 41. Evaluate the cube root of z when z=27cis(240) Problem 42SE: For the following exercises, evaluate each root 42. Evaluate the square root of z when z=16cis(100)... Problem 43SE: For the following exercises, evaluate each root. 43. Evaluate the cube root of z when z=32cis(23) . Problem 44SE: For the following exercises, evaluate each root. 44. Evaluate the square root of z when z=32cis() Problem 45SE: For the following exercises, evaluate each root 45. Evaluate the cube root of z when z=8cis(74) Problem 46SE: For the following exercises, plot the complex number in the complex plane. 46. 2+4i Problem 47SE: For the following exercises, plot the complex number in the complex plane. 47. 33i Problem 48SE: For the following exercises, plot the complex number in the complex plane. 48. 54i Problem 49SE: For the following exercises, plot the complex number in the complex plane. 49. 15i Problem 50SE: For the following exercises, plot the complex number in the complex plane. 50. 3+2i Problem 51SE: For the following exercises, plot the complex number in the complex plane. 51. 2i Problem 52SE: For the following exercises, plot the complex number in the complex plane. 52. -4 Problem 53SE: For the following exercises, plot the complex number in the complex plane. 53. 62i Problem 54SE: For the following exercises, plot the complex number in the complex plane. 54. 2+i Problem 55SE: For the following exercises, plot the complex number in the complex plane. 55. 14i Problem 56SE: For the following exercises, find all answers rounded to the nearest hundredth 56. Use the... Problem 57SE: For the following exercises, find all answers rounded to the nearest hundredth 57. Use the... Problem 58SE: For the following exercises, find all answers rounded to the nearest hundredth 58. Use the... Problem 59SE: For the following exercises, find all answers rounded to the nearest hundredth 59. Use the polar to... Problem 60SE: For the following exercises, find all answers rounded to the nearest hundredth 60. Use the polar to... Problem 61SE: For the following exercises, find all answers rounded to the nearest hundredth 61. Use the polar to... format_list_bulleted