Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

13th Edition

ISBN: 9780321869838

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

Publisher: PEARSON

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Textbook Question

Chapter A.4, Problem 1E

In Problems 1–22, perform the indicated operations and reduce answers to lowest terms.

1. 5 ⋅ 9 ⋅ 13 3 ⋅ 5 ⋅ 7

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Chapter A.4, Problem 5MP

Chapter A.4, Problem 2E

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In Problems 11–48, perform the indicated operation, and write each expression in the standard form a + bi. 11. (2 — 3і) + (6 + 8i) 12. (4 + 5i) + (-8 + 2i) 13. (-3 + 2i) – (4 – 4i) 14. (3 – 4i) – (-3 – 4i) 15. (2 — 51) — (8+ 6і) 16. (-8 + 4i) – (2 – 2i) 17. 3(2 — 6і) 18. –4(2 + 8i) 19. 2i (2 — 3і) 20. Зi(-3 + 4i) \ 21. (3 – 4i) (2 + i) 22. (5 + 3i) (2 - i) 10 13 23. (-6 + i) (-6 — і) 24. (-3 + i) (3 + i) 25. 3 26. 5 - 12i 4i 2 + i 27. 2 - i 28. -2i 6 - i 29. 1 + i 2 + 3i 30. 1 - i V3 31. 33. (1 + i)? 34. (1 – i)? SECTION A.7 Complex Numbers; Quadratic Equations in the Complex Number System 35. Р3 36. i14 37. г15 38. 23 39. i6 – 5 41. 6i – 4i5 43. (1 + i) 48. i + + P + i 40. 4 + 3 42. 4i – 21 + 1 44. (3i)* + 1 45. i' (1 + ?) 46. 2i* (1 + ?) 47. * + i* + ² + 1

In Problems 57–68, solve each equation in the real number system. 57. x* - x + 2x? - 4x - 8 = 0 58. 2x + 3x? + 2x + 3 = 0 59. 3x + 4x? - 7x + 2 = 0 60. 2x – 3x –- 3x – 5 = 0 234 CHAPTER 4 Polynomial and Rational Functions 61. 3x – x? - 15x + 5 = 0 62. 2x - 11x² + 10x + 8 = 0 63. x* + 4x + 2r? - x + 6 = 0 64. x* - 2x + 10x? - 1&r + 9 == (0 8 +x +1 = 0 65. x 66. х + + 3x - 2 = 0 67. 2x - 19x + 57x - 64x + 20 = 0 68. 2x + x - 24x + 20x + 16 = 0

In Problems 55–74, solve each equation in the complex number system

Chapter A.4 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

Ch. A.4 - Reduce each fraction to lowest terms....Ch. A.4 - Reduce each rational expression to lowest terms....Ch. A.4 - Prob. 3MP Ch. A.4 - Combine into a single fraction and reduce to...Ch. A.4 - Express as a simple fraction reduced to lowest...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 3E Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 5E

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In Problems 1–22, perform the indicated operations and reduce answers to lowest terms. 1. 5 ⋅ 9 ⋅ 13 3 ⋅ 5 ⋅ 7

Solution Summary: The author explains how to perform the indicated operation in the expression 5cdot 9, and reduce the answer to lowest term.

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Chapter A.4 Solutions