Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter A.2, Problem 25E
To determine
To perform: The indicated operation in the expression,
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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
Exercises 38–40 will help you prepare for the material covered in
the first section of the next chapter.
In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9)
40. The figures show the graphs of two functions.
y
y
201
10-
....
-20-
flx) = x³
glx) = -0.3x + 4x + 2
2. 3/2x + 1
Chapter A.2 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.2 - (A)Given the polynomial 6x5 + 7x3 2, what is the...Ch. A.2 - Remove parentheses and simplify: (A)3(u2 2v2) +...Ch. A.2 - Prob. 3MPCh. A.2 - Subtract 2x2 5x + 4 from 5x2 6, both...Ch. A.2 - Multiply: (2x3)(2x2+3x2)Ch. A.2 - Prob. 6MPCh. A.2 - Perform the indicated operations and simplify:...Ch. A.2 - Prob. 1ECh. A.2 - Problems 18 refer to the following polynomials:...Ch. A.2 - Problems 18 refer to the following polynomials:...
Ch. A.2 - Problems 18 refer to the following polynomials:...Ch. A.2 - Prob. 5ECh. A.2 - Problems 18 refer to the following polynomials:...Ch. A.2 - Problems 18 refer to the following polynomials:...Ch. A.2 - Problems 18 refer to the following polynomials:...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - Prob. 14ECh. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - Prob. 20ECh. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - Prob. 22ECh. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - Prob. 24ECh. A.2 - Prob. 25ECh. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - Prob. 27ECh. A.2 - Prob. 28ECh. A.2 - Prob. 29ECh. A.2 - In Problems 930, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - Prob. 32ECh. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - Prob. 38ECh. A.2 - Prob. 39ECh. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - In Problems 3144, perform the indicated operations...Ch. A.2 - Prob. 44ECh. A.2 - Subtract the sum of the last two polynomials from...Ch. A.2 - Subtract the sum of the first two polynomials from...Ch. A.2 - In Problems 4750, perform the indicated operations...Ch. A.2 - Prob. 48ECh. A.2 - In Problems 4750, perform the indicated operations...Ch. A.2 - Prob. 50ECh. A.2 - If you are given two polynomials, one of degree m...Ch. A.2 - What is the degree of the sum of the two...Ch. A.2 - How does the answer to Problem 51 change if the...Ch. A.2 - How does the answer to Problem 52 change if the...Ch. A.2 - Prob. 55ECh. A.2 - Show by example that, in general, (ab)2a2b2....Ch. A.2 - Investment. You have 10,000 to invest, part at 9%...Ch. A.2 - Prob. 58ECh. A.2 - Prob. 59ECh. A.2 - Prob. 60ECh. A.2 - Prob. 61ECh. A.2 - Nutrition. Each ounce of food M contains 8 units...
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- For Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression. 2(x + h)? + 3(x + h) · 5. (2x + 3x) 3(x + h - 4(x + h) – (3x - 4x) 6. h 1 1 1 1 (x + h) – 2 7. x - 2 2(x + h) + 5 8. 2x + 5 h (x + h) – x 9. (x + h) 10. - X h harrow_forwardFor Exercises 39–42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 39. (6V5 – 2V3)(2V3 + 5V3) 40. (7V2 – 2VIT)(7V2 + 2V1T) 41. (2c²Va – 5ď Vc) 42. (Vx + 2 + 4)²arrow_forward2. 2x + 3y = 8 and 9x + 3y = 15 1/2 oparrow_forward
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