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21. Which of the following is a polynomial? ii. V5x + 3x d. i and i i. x3 + 2x2 + 5x + 2 ii. 5x³ + 3x? + x + 2 b. ii only i and ii a. i only C.

21. Which of the following is a polynomial? ii. V5x + 3x d. i and i i. x3 + 2x2 + 5x + 2 ii. 5x³ + 3x? + x + 2 b. ii only i and ii a. i only C.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following is a polynomial
nted an môn difference of the sequence -2, 1, 4,7, 10? C. Harmonic d. Fibonacci a. b. 5 3. Given the rule an= 7n +5, what are the first three terms? 4.) TI are easy 6.) TH ne how person. 10.) И the se explor c. 3 d. -3 a. 5, 12, 19 b. 12, 19, 26 4. What is the 50th term of a sequence in which an) = 7 + (n-1)(3)? c, -2, 5, 19 d. 19, 26, 33 a. 24 5. If three arithmetic means are inserted between -15 and 9, find the first of these arithmetic means, b. 34 c. 44 d. 54 a. 3 6. What is the arithmetic mean between 18 and 27? b. c. -6 d. -9 a. 4.5 b. 5.5 7. What is the sum of all the even integers between 9 and 99? C. 22.5 d. 45 Joring Cons дener ering Eand a. 2304 b. 2340 8.. If aa) =7 and d = 3, what is Sn? C. 2430 d. 2440 a. 80 ь. 89 9. Determine the next two terms of the sequence 5, 10, 20, ... c. 110 d. 112 a. 40, 80 b. 40, 60 _10. Give the first three terms of the sequence defined by an = 3(2)-. c. 30, 40 d. 30, 60 the efo 3, 6, 18 For item numbers 11 and 12: a. b. 3, 6, 12 c. 0, 6, 12 d. 0,6, 36 Given the sequence 80, 40, 20, . . . 11. Determine the common ratio of the geometric sequence. a. b. 2 d. cannot be determined C. 12. What is the sixth term of the sequence? a. b. 1.25 с. 2.5 d. 5 13. If a1 = 4 and r= 3, what is as? 1 080 a. b. 972 C. 324 d. 108 14. Insert two geometric means between 5 and 135. a. 15, 45 b. 45, 15 c. 50, 95 d. 45, 90 15. What is the geometric mean between 4 and 9? а. 36 b. 6 16. What is the sum of all the multiples of 4 between 15 and 49? b. 240 17. What is the next term in the Fibonacci sequence 13, 21, 34, 55, 89? b. 124 18. What is the sum of all even integers between 7 and 31? C. +6 d. -6 224 C. 288 a. d. 340 a. 123 C. 134 d. 144 a. 251 b. 247 C. 228 d. 226 19. Find the 7th term of the sequence 1, 2, 6, 24, . d. 120 20. What is the sum of the first 11 terms of the geometric sequence 2, -2, 2, -2, ...? d. 22 a. 9000 L. 5040 C. 720 a. -2 b. 0 с. 2 21. Which of the following is a polynomial? x³ + 2x²+ 5x + 2 iii. V5x + 3x d. i and i i. ii. 5x + 3x? + x + 2 C. i and ii b. ii only 22. In Px) = 2x² + 7x³ + 3x – 5, what is the leading coefficient? b. 3 a. i only C. 5 d. 7 а. 2 23. If x³-2x²- 4x + 5 is divided by x-3, what is the remainder? b. 0 C. 1 d. 2 a. -2 24. Find P(2) if Px) = 2x³ - 5x² + 6x -11. - 3 25. Which expression gives the remainder when Pt) = 4x² + 2x - 5 is divided by (x- 2)? b. - 11 c. - 24 - 40 a. C. P(2) d. P(4) P(-5) b. P(-2) a. 26. What is the remainder when 10x159 -5 is divided by (x- 1)? b. C. -5 d. - 10 a. 10 27. Which of the following is a factor of x*- 1? d. x+4 C. X+2 b. x-1 а. х-2 28. Which polynomial is equal to 25y² – x² ? a. (5y+x)(5y +x) d. (5y+ x)(-5y-x) b. (5y+x)(5y- x) c. (5y-x)(5y-x) 29. Which of the following is NOT a root of fy = x(x+ 3)(x – 1)(2x + 1}? d. -3 b. -1 С. 30. How many times do the graph of P = (x + 1)(2x + 3)(x-2) crosses the x-axis? twice a. d. four times C. thrice
Transcribed Image Text:nted an môn difference of the sequence -2, 1, 4,7, 10? C. Harmonic d. Fibonacci a. b. 5 3. Given the rule an= 7n +5, what are the first three terms? 4.) TI are easy 6.) TH ne how person. 10.) И the se explor c. 3 d. -3 a. 5, 12, 19 b. 12, 19, 26 4. What is the 50th term of a sequence in which an) = 7 + (n-1)(3)? c, -2, 5, 19 d. 19, 26, 33 a. 24 5. If three arithmetic means are inserted between -15 and 9, find the first of these arithmetic means, b. 34 c. 44 d. 54 a. 3 6. What is the arithmetic mean between 18 and 27? b. c. -6 d. -9 a. 4.5 b. 5.5 7. What is the sum of all the even integers between 9 and 99? C. 22.5 d. 45 Joring Cons дener ering Eand a. 2304 b. 2340 8.. If aa) =7 and d = 3, what is Sn? C. 2430 d. 2440 a. 80 ь. 89 9. Determine the next two terms of the sequence 5, 10, 20, ... c. 110 d. 112 a. 40, 80 b. 40, 60 _10. Give the first three terms of the sequence defined by an = 3(2)-. c. 30, 40 d. 30, 60 the efo 3, 6, 18 For item numbers 11 and 12: a. b. 3, 6, 12 c. 0, 6, 12 d. 0,6, 36 Given the sequence 80, 40, 20, . . . 11. Determine the common ratio of the geometric sequence. a. b. 2 d. cannot be determined C. 12. What is the sixth term of the sequence? a. b. 1.25 с. 2.5 d. 5 13. If a1 = 4 and r= 3, what is as? 1 080 a. b. 972 C. 324 d. 108 14. Insert two geometric means between 5 and 135. a. 15, 45 b. 45, 15 c. 50, 95 d. 45, 90 15. What is the geometric mean between 4 and 9? а. 36 b. 6 16. What is the sum of all the multiples of 4 between 15 and 49? b. 240 17. What is the next term in the Fibonacci sequence 13, 21, 34, 55, 89? b. 124 18. What is the sum of all even integers between 7 and 31? C. +6 d. -6 224 C. 288 a. d. 340 a. 123 C. 134 d. 144 a. 251 b. 247 C. 228 d. 226 19. Find the 7th term of the sequence 1, 2, 6, 24, . d. 120 20. What is the sum of the first 11 terms of the geometric sequence 2, -2, 2, -2, ...? d. 22 a. 9000 L. 5040 C. 720 a. -2 b. 0 с. 2 21. Which of the following is a polynomial? x³ + 2x²+ 5x + 2 iii. V5x + 3x d. i and i i. ii. 5x + 3x? + x + 2 C. i and ii b. ii only 22. In Px) = 2x² + 7x³ + 3x – 5, what is the leading coefficient? b. 3 a. i only C. 5 d. 7 а. 2 23. If x³-2x²- 4x + 5 is divided by x-3, what is the remainder? b. 0 C. 1 d. 2 a. -2 24. Find P(2) if Px) = 2x³ - 5x² + 6x -11. - 3 25. Which expression gives the remainder when Pt) = 4x² + 2x - 5 is divided by (x- 2)? b. - 11 c. - 24 - 40 a. C. P(2) d. P(4) P(-5) b. P(-2) a. 26. What is the remainder when 10x159 -5 is divided by (x- 1)? b. C. -5 d. - 10 a. 10 27. Which of the following is a factor of x*- 1? d. x+4 C. X+2 b. x-1 а. х-2 28. Which polynomial is equal to 25y² – x² ? a. (5y+x)(5y +x) d. (5y+ x)(-5y-x) b. (5y+x)(5y- x) c. (5y-x)(5y-x) 29. Which of the following is NOT a root of fy = x(x+ 3)(x – 1)(2x + 1}? d. -3 b. -1 С. 30. How many times do the graph of P = (x + 1)(2x + 3)(x-2) crosses the x-axis? twice a. d. four times C. thrice
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