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All Textbook Solutions for Calculus: Early Transcendentals (3rd Edition)

31E32E33E34E35E36E37EWorking with linear equations Find an equation of the line l that satisfies the given condition. Then draw the graph of l. 38.l has undefined slope and passes through (0, 5).39E40E41E42E43E44E45E46EIntervals to sets Express the following intervals in set notation. Use absolute value notation when possible. 47.(, 2] or [4, )Intervals to sets Express the following intervals in set notation. Use absolute value notation when possible. 48.(2, 3] or [4, 5)49ESets in the plane Graph each set in the xy-plane. 50.{(x, y): |x| = |y|}Practice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following questions. 1. z + 3wPractice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following quantities. 2. w 3zPractice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following quantities. 3. z2Practice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following quantities. 4.w3Practice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following quantities. 5. z/wPractice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following quantities. 6. 1/wPractice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following quantities. 7.|z|Practice Exercises Complex operations Let z = 2 + 5i and w = 3 4i. Compute the following quantities. 8. |w|2Geometry of complex numbers Plot the following numbers in the complex plane. Then find the modulus and argument of the number. 9. z = 1 + iGeometry of complex numbers Plot the following numbers in the complex plane. Then find the modulus and argument of the number. 10. z = 4i11E12E13E14E15E16E17E18E19E20EEulers formula Evaluate the following expressions. 21. eiEulers formula Evaluate the following expressions. 22. 3ei3/423EEulers formula Evaluate the following expressions. 24. ei7/6Eulers formula Evaluate the following expressions. 25. ei/2+ei/226E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48EExplorations and Challenges Evaluating roots Evaluate the following roots, being sure to include all possible values. 49. (13i)1/250E51E52E53E54E55E56ESolving polynomial equations Find all roots of the following equations. 57. x2 + 2x + 2 = 0Solving polynomial equations Find all roots of the following equations. 58. x2 6x + 13 = 059E60E61E
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