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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Chapter A.4, Problem 21E
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms.
21.
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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. 3MPCh. 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. 3ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 5E
Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 7ECh. A.4 - Prob. 8ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 14ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 18ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - Prob. 25ECh. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - Prob. 30ECh. A.4 - Prob. 31ECh. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - Prob. 34ECh. A.4 - Prob. 35ECh. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - Prob. 37ECh. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - Represent the compound fractions in Problems 4346...Ch. A.4 - Represent the compound fractions in Problems 4346...Ch. A.4 - Represent the compound fractions in Problems 4346...Ch. A.4 - Represent the compound fractions in Problems 4346...
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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 + 1arrow_forwardSubtract 1.2a“ – 0.7a from the sum of 0.6 a4 + 1.5a and 0.4 a4 - 1.1a First, we will translate the words of the problem into mathematical symbols. Then we will perform the indicated operations. The words of the problem contain the key phrases subtract from and sum. Since 1.2a4 – 0.7a is to be subtracted from the sum, the order must be reversed when we translate to mathematical symbols. Subtract 1.2a4 0.7a from the sum of 0.6a + 1.5a and 0.4a4 1.1a. [(0.6 a4 + 1.5a) + (0.4 at – 1.1a) ] - (1.2a* – 0.7a) Use brackets [ ] to enclose the sum. Next, we remove the grouping symbols to obtain 0.6 a4 + 1.5a + 0.4 at – 1.1a -1.2a4 + 0.7a Change the sign of each term within (1.2a4 - 0.7a) and drop the parentheses. at+ a Combine like terms. %D Subtract -0.6q? – 0.6q from the sum of 0.1q? - 0.6q and 0.3q² + 0.1q.arrow_forwardIn Problems 1–6, find the real solutions of each equation.arrow_forward
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