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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 1 Homework, Page 559 Plot all four points in the same complex plane.

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Presentation on theme: "Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 1 Homework, Page 559 Plot all four points in the same complex plane."— Presentation transcript:

1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 1 Homework, Page 559 Plot all four points in the same complex plane 1.

2 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 2 Homework, Page 559 Find the trigonometric form of the complex number where the argument satisfies 0 ≤ θ ≤ 2π. 5.

3 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 3 Homework, Page 559 Find the trigonometric form of the complex number where the argument satisfies 0 ≤ θ ≤ 2π. 9.

4 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 4 Homework, Page 559 Write the complex number in standard form, a + bi. 13.

5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 5 Homework, Page 559 Write the complex number in standard form, a + bi. 17.

6 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 6 Homework, Page 559 Find the product of x 1 and x 2. 21.

7 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 7 Homework, Page 559 Find the trigonometric form of the quotient. 25.

8 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 8 Homework, Page 559 Find the product x 1 ·x 2 and quotient x 1 /x 2 in two ways (a) using the trigonometric forms, and (b) using the standard forms. 29.

9 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 9 Homework, Page 559 29.(a) Continued

10 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 10 Homework, Page 559 29.

11 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 11 Homework, Page 559 Use De Moivre’s theorem to find the indicated power of the complex number. Write your answer in standard form. 33.

12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 12 Homework, Page 559 Use De Moivre’s theorem to find the indicated power of the complex number. Write your answer in standard form. 37.

13 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 13 Homework, Page 559 Find the cube roots of the complex number. 41.

14 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 14 Homework, Page 559 Find the fifth roots of the complex number. 45.

15 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 15 Homework, Page 559 Find the fifth roots of the complex number. 49.

16 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 16 Homework, Page 559 Find the nth roots of the complex number for the specified value of n. 53.

17 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 17 Homework, Page 559 Express the roots of unity in standard form. Graph each root. 57.

18 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 18 Homework, Page 559 61.

19 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 19 Homework, Page 559 65.The trigonometric form of a complex number is unique.

20 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 20 Homework, Page 559 69.Which of the following is the standard form of the product of a. 2 b. -2 c. -2i d. -1 + i e. 1 - i

21 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 21 Homework, Page 559 Find all solutions of the equation, real and complex.

22 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 22 Homework, Page 559 Find all solutions of the equation, real and complex.

23 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 23 Homework Homework #8 Review Sections: 5.5 – 6.6 Page 497, Exercises: 53, 57, 61, 65, 77 Page 562, Exercises: 1 – 89 (EOO) Chapter 5/6 Test next time


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