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8th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781305266636

Chapter G, Problem 44E

Textbook Problem

Write the number in the form *a* + *bi*.

**44.** *e*^{−iπ}

Single Variable Calculus

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Ch. G - Evaluate the expression and write your answer in...Ch. G - Evaluate the expression and write your answer in...Ch. G - Evaluate the expression and write your answer in...Ch. G - Evaluate the expression and write your answer in...Ch. G - Find the complex conjugate and the modulus of the...Ch. G - Find the complex conjugate and the modulus of the...Ch. G - Find the complex conjugate and the modulus of the...Ch. G - Prove the following properties of complex numbers....Ch. G - Find all solutions of the equation. 19. 4x2 + 9 =...Ch. G - Find all solutions of the equation. 20. x4 = 1Ch. G - Find all solutions of the equation. 21. x2 + 2x +...Ch. G - Find all solutions of the equation. 22. 2x2 2x +...Ch. G - Find all solutions of the equation. 23. z2 + z + 2...Ch. G - Find all solutions of the equation. 24....Ch. G - Write the number in polar form with argument...Ch. G - Write the number in polar form with argument...Ch. G - Write the number in polar form with argument...Ch. G - Write the number in polar form with argument...Ch. G - Write the number in polar form with argument...Ch. G - Find polar forms for zw, z/w, and 1/z by first...Ch. G - Find polar forms for zw, z/w, and 1/z by first...Ch. G - Find polar forms for zw, z/w, and 1/z by first...Ch. G - Find the indicated power using De Moivres Theorem....Ch. G - Find the indicated power using De Moivres Theorem....Ch. G - Find the indicated power using De Moivres Theorem....Ch. G - Find the indicated power using De Moivres Theorem....Ch. G - Find the indicated roots. Sketch the roots in the...Ch. G - Find the indicated roots. Sketch the roots in the...Ch. G - Find the indicated roots. Sketch the roots in the...Ch. G - Find the indicated roots. Sketch the roots in the...Ch. G - Write the number in the form a + bi. 41. ei/2Ch. G - Write the number in the form a + bi. 42. e2iCh. G - Write the number in the form a + bi. 43. ei/3Ch. G - Write the number in the form a + bi. 44. eiCh. G - Write the number in the form a + bi. 45. e2+iCh. G - Write the number in the form a + bi. 46. e+iCh. G - Use De Moivres Theorem with n = 3 to express cos 3...Ch. G - Use Eulers formula to prove the following formulas...Ch. G - If u(x) = f(x) + ig(x) is a complex-valued...Ch. G - (a) If u is a complex-valued function of a real...

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