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9. Find the indicated roots. Sketch the roots in the complex plane: a) The fifth roots of 32 b) The cube roots of i c) 10. Write the number in the form a his The cube roots of 1 + i

9. Find the indicated roots. Sketch the roots in the complex plane: a) The fifth roots of 32 b) The cube roots of i c) 10. Write the number in the form a his The cube roots of 1 + i

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers
Problem 12E
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9. Find the indicated roots. Sketch the roots in the complex plane: a) The fifth roots of 32 b) The cube roots of i c) 10. Write the number in the form a + bi: a) ein/2 b) €²ni c) ¿¯ï e) eªti 11. Use Euler's formula to prove that d) The cube roots of 1 + i
Transcribed Image Text:9. Find the indicated roots. Sketch the roots in the complex plane: a) The fifth roots of 32 b) The cube roots of i c) 10. Write the number in the form a + bi: a) ein/2 b) €²ni c) ¿¯ï e) eªti 11. Use Euler's formula to prove that d) The cube roots of 1 + i
12. Find a complex number z such that z+iz (2+i)²+i(2-4i). gana 13. If z 4 cos(π/5)+ i sin(7/5). Calculate 2³ and 2³. A Consider the complex number √3-i. a) Express √3-i in polar form. b) z Find all complex numbers z such that ¹ -√3-i and represent all your solutions in the complex plane.
Transcribed Image Text:12. Find a complex number z such that z+iz (2+i)²+i(2-4i). gana 13. If z 4 cos(π/5)+ i sin(7/5). Calculate 2³ and 2³. A Consider the complex number √3-i. a) Express √3-i in polar form. b) z Find all complex numbers z such that ¹ -√3-i and represent all your solutions in the complex plane.
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