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
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter A.5, Problem 31E
In Problems 29–38, simplify and express answers using positive exponents only. Assume that variables are nonzero.
31.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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 Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation.
0.312
For Exercises 11–12,
a. Rationalize the numerator of the expression and simplify.
b. Substitute 0 for h in the simplified expression.
Vx + h + 1 – (Vĩ + 1)
11.
V2x + h) – V2x
-
12.
h
h
Chapter A.5 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.5 - Simplify, and express the answers using positive...Ch. A.5 - Prob. 2MPCh. A.5 - (A)Write each number in scientific notation:...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 2ECh. A.5 - Prob. 3ECh. A.5 - Prob. 4ECh. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 6ECh. A.5 - Prob. 7E
Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 13ECh. A.5 - Prob. 14ECh. A.5 - Prob. 15ECh. A.5 - Prob. 16ECh. A.5 - Prob. 17ECh. A.5 - In Problems 1520, write each number in scientific...Ch. A.5 - Prob. 19ECh. A.5 - In Problems 1520, write each number in scientific...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - Prob. 27ECh. A.5 - In Problems 2128, write each number in standard...Ch. A.5 - Prob. 29ECh. A.5 - Prob. 30ECh. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - Prob. 35ECh. A.5 - Prob. 36ECh. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 2938, simplify and express answers...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - In Problems 3942, write each expression in the...Ch. A.5 - Write each expression in Problems 4346 with...Ch. A.5 - Write each expression in Problems 4346 with...Ch. A.5 - Write each expression in Problems 4346 with...Ch. A.5 - Prob. 46ECh. A.5 - Prob. 47ECh. A.5 - Prob. 48ECh. A.5 - Prob. 49ECh. A.5 - Prob. 50ECh. A.5 - What is the result of entering 232 on a...Ch. A.5 - Prob. 52ECh. A.5 - If n = 0, then property 1 in Theorem 1 implies...Ch. A.5 - If m = n, then property 1 in Theorem 1 implies...Ch. A.5 - Write the fractions in Problems 5558 as simple...Ch. A.5 - Prob. 56ECh. A.5 - Write the fractions in Problems 5558 as simple...Ch. A.5 - Write the fractions in Problems 5558 as simple...Ch. A.5 - Problems 59 and 60 refer to Table 1. Table 1 U.S....Ch. A.5 - Prob. 60ECh. A.5 - Prob. 61ECh. A.5 - Air pollution. Air quality standards establish...Ch. A.5 - Prob. 63ECh. A.5 - Population density. The United States had a 2016...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Questions 15: (A.SSE.A.2) * The expression 4x² – 25 is equivalent to - O (4x- 5)(x+5) (4x+5)(x - 5) (2x + 5)(2x - 5) (2x - 5)(2x - 5)arrow_forwardIn Exercises 102–103, perform the indicated operations. Assume that exponents represent whole numbers. 102. (x2n – 3x" + 5) + (4x2" – 3x" – 4) – (2x2 – 5x" – 3) 103. (y3n – 7y2n + 3) – (-3y3n – 2y2" – 1) + (6y3n – yn + 1) 104. From what polynomial must 4x? + 2x – 3 be subtracted to obtain 5x? – 5x + 8?arrow_forwardMotorcycle license plates in the state of California start with two digits(0–9), followed by one uppercase letter (A–Z), followed by four digits (0–9). Determine the number of motorcycle license plates possible if the first two digits must be odd, the last four digits cannot be 0, and repetition is not permitted.arrow_forward
- Which explicit formula is equivalent to a1=7, an=an−1+ 3.2? A. an=an-1+(n-1)3.2 B. an= 7(3.2)^n-1 C. an=3.2+(n-1)7 D. an=7+(n-1)3.2arrow_forwardScientific Notation. In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation. 614arrow_forwardIn Problems 11–48, simplify each expression. Assume that all variables are positive when they appear. A 11. V27 12. V16 13. V-8 14. V-1 15. V§ 16. V54 17. V-&r* 18. V48x 19. VPyS 12. 20. Vr"y,5 Зху? „10. 21. 22. xy V 81x*y? 23. V36х 24. V9r 25. V162rº y'² 29. (V5 Vý)² 10 27. V3x V12x 28. V5x V20x 30. (V3 V10)“ 31. (3V6) (2V2) 32. (5V8) (-3V3) 36. 2/12 – 3V27 33. 3V2 + 4V2 34. 6V5 – 4V5 35. - V18 + 2V8 37. (V3 + 3) (V3 – 1) 38. (V5 – 2) (V5 + 3) 39. 5V2 – 2V54 40. 9V24 – V81 41. (Vx – 1)2 42. (Vĩ + V5)? 43. V16x – V2x 44. V32x + V2x³ 45. V8r – 3V50x 46. 3xV9y + 4V25Y 47. V16x*y – 3x V2ry + 5V-2ry* 48. &xy – V25xy² + V&r°y*arrow_forward
- 2. Show that 3 (=-2) = 00,arrow_forward10. Express the product of 0.21 and 0.34 in standard formarrow_forwardAll changes saved 11. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: Expand the expression –7i(2 – 4i) using the distributive property. Part B: Show all work for Part A. Part C: Explain why the expansion in Part A did not result in the need to combine like terms.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
The Fundamental Counting Principle; Author: AlRichards314;https://www.youtube.com/watch?v=549eLWIu0Xk;License: Standard YouTube License, CC-BY
The Counting Principle; Author: Mathispower4u;https://www.youtube.com/watch?v=qJ7AYDmHVRE;License: Standard YouTube License, CC-BY