EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
14th Edition
ISBN: 9780135961438
Author: Barnett
Publisher: PEARSON CO
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Chapter A.3, Problem 59E
In Problems 57–60, discuss the validity of each statement. If the statement is true explain why. If not, give a counterexample
59. If n is a positive integer greater than 1, then un + vn can be factored.
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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
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)
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
Chapter A.3 Solutions
EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
Ch. A.3 - Factor out all factors common to all terms....Ch. A.3 - Prob. 2MPCh. A.3 - Prob. 3MPCh. A.3 - Factor completely: (A)x2+6xy+9y2 (B)9x24y2 (C)8m31...Ch. A.3 - Factor completely. (A)18x38x (B)4m3n2m2n2+2mn3...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 3ECh. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 5E
Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 918, factor by grouping. 9.2x2x+4x2Ch. A.3 - In Problems 918, factor by grouping. 10.x23x+2x6Ch. A.3 - In Problems 918, factor by grouping. 11.3y23y+2y2Ch. A.3 - In Problems 918, factor by grouping. 12.2x2x+6x3Ch. A.3 - In Problems 918, factor by grouping. 13.2x2+8xx4Ch. A.3 - In Problems 918, factor by grouping. 14.6x2+9x2x3Ch. A.3 - In Problems 918, factor by grouping. 15.wywz+xyxzCh. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping. 18.ab+6+2a+3bCh. A.3 - Prob. 19ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 36ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 39ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 45ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 47ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 50ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 53ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 57ECh. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...
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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
- Motorcycle 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_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_forwardNumber 332 – 1 has exactly two divisors greater than 75 and less than 85. What is their product?arrow_forward
- In 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_forwardIf A={a,b}, what is A times A?arrow_forwardIs there a formula to determine a and b without Excel?arrow_forward
- In Exercises 126–129, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 126. Once a GCF is factored from 6y – 19y + 10y“, the remaining trinomial factor is prime. 127. One factor of 8y² – 51y + 18 is 8y – 3. 128. We can immediately tell that 6x? – 11xy – 10y? is prime because 11 is a prime number and the polynomial contains two variables. 129. A factor of 12x2 – 19xy + 5y² is 4x – y.arrow_forwardExpand the following: (3q-q-¹)² (q²) O a. 9q²-q-² O b. 9q4-6q² O c. -9q²-692arrow_forwardProve that if 8x-5=-2x-15 then -x=1arrow_forward
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