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The Complex Plane; De Moivre’s Theorem

The Complex Plane; De Moivre’s Theorem. Polar Form. 1. Plot each complex number in the complex plane and write it in polar form. Express the argument in degrees (Similar to p.334 #11-22).

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The Complex Plane; De Moivre’s Theorem

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  1. The Complex Plane; De Moivre’s Theorem

  2. Polar Form

  3. 1. Plot each complex number in the complex plane and write it in polar form. Express the argument in degrees (Similar to p.334 #11-22)

  4. 2. Plot each complex number in the complex plane and write it in polar form. Express the argument in degrees (Similar to p.334 #11-22)

  5. 3. Plot each complex number in the complex plane and write it in polar form. Express the argument in degrees (Similar to p.334 #11-22)

  6. 4. Write each complex number in rectangular form (Similar to p.334 #23-32)

  7. 5. Write each complex number in rectangular form (Similar to p.334 #23-32)

  8. 6. Write each complex number in rectangular form (Similar to p.334 #23-32)

  9. Multiplication and Division

  10. 7. Find zw and z/w. Leave your answers in polar form(Similar to p.334 #33-40)

  11. 8. Find zw and z/w. Leave your answers in polar form(Similar to p.334 #33-40)

  12. 9. Find zw and z/w. Leave your answers in polar form(Similar to p.334 #33-40)

  13. 10. Write each expression in the standard form a + bi(Similar to p.334 #41-52)

  14. 11. Write each expression in the standard form a + bi(Similar to p.334 #41-52)

  15. Let w = r(cos θo + i sin θo be a complex number, and let n > 2 be an integer. There are n distinct complex nth roots given by:

  16. 12. Find all the complex roots. Leave your answers in polar form with the argument in degrees(Similar to p.335 #53-60)

  17. 13. Solve the following equation. Leave your answers in polar form with the argument in degrees(Similar to p.335 #53-60)

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