without expand ,evalute ∆=
3 2 1 4
15 29 2 14
16 19 3 17
33 39 8 38
Answers
Answer:
Step-by-step explaIn that poem we have learnt that
"our country (india)should become great
"मेरा देश महान् बने "
If you like please mark as brainliest answer
Thank you so much ^_^nation:
Answer:
please mark me as a Brainliest
Step-by-step explanation:
Section 0.1
1. −48 3. 2/3 5. −1 7. 9 9. 1 11. 33 13. 14
15. 5/18 17. 13.31 19. 6 21. 43/16 23. 0
25. 3*(2-5) 27. 3/(2-5) 29. (3-1)/(8+6)
31. 3-(4+7)/8 33. 2/(3+x)-x*y^2
35. 3.1x^3-4x^(-2)-60/(x^2-1) 37. (2/3)/5
39. 3^(4-5)*6 41. 3*(1+4/100)^(-3)
43. 3^(2*x-1)+4^x-1 45. 2^(2x^2-x+1)
47. 4*e^(-2*x)/(2-3e^(-2*x)) or 4*(e^(-2*x))/
(2-3e^(-2*x)) 49. 3(1-(-1/2)^2)^2+1
Section 0.2
1. 27 3. −36 5. 4/9 7. −1/8 9. 16 11. 2 13. 32
15. 2 17. x5 19. − y
x 21.
1
x 23. x3 y 25. z4
y3 27. x6
y6
29. x4 y6
z4 31.
3
x4 33.
3
4x2/3 35. 1 − 0.3x2 − 6
5x 37. 2
39. 1/2 41. 4/3 43. 2/5 45. 7 47. 5 49. −2.668
51. 3/2 53. 2 55. 2 57. ab 59. x + 9 61. x
√3 a3 + b3
63.
2y
√x 65. 31/2 67. x3/2 69. (xy2)1/3 71. x3/2
73.
3
5
x−2 75.
3
2
x−1.2 − 1
3
x−2.1 77.
2
3
x − 1
2
x0.1 +
4
3
x−1.1
79. (x2 + 1)−3 − 3
4
(x2 + 1)−1/3 81. √3 22 83. √3 x4
85. 5
√x √3 y 87. − 3
2
√4 x 89.
0.2
√3 x2 +
3
√x
7
91.
3
4
(1 − x)5 93. 64 95. √3 97. 1/x 99. xy
101. y
x
1/3
103. ±4 105. ±2/3 107. −1, −1/3
109. −2 111. 16 113. ±1 115. 33/8
Section 0.3
1. 4x2 + 6x 3. 2xy − y2 5. x2 − 2x − 3
7. 2y2 + 13y + 15 9. 4x2 − 12x + 9 11. x2 + 2 + 1/x2
13. 4x2 − 9 15. y2 − 1/y2 17. 2x3 + 6x2 + 2x − 4
19. x4 − 4x3 + 6x2 − 4x + 1 21. y5 + 4y4 + 4y3 − y
23. (x + 1)(2x + 5) 25. (x2 + 1)5(x + 3)3(x2 + x + 4)
27. −x3(x3 + 1)√x + 1 29. (x + 2)
(x + 1)3
31. a. x(2 + 3x) b. x = 0, −2/3 33. a. 2x2(3x − 1)
b. x = 0, 1/3 35. a. (x − 1)(x − 7) b. x = 1, 7
37. a. (x − 3)(x + 4) b. x = 3, −4 39. a. (2x + 1)(x − 2)
b. x = −1/2, 2 41. a. (2x + 3)(3x + 2)
b. x = −3/2, −2/3 43. a. (3x − 2)(4x + 3)
b. x = 2/3, −3/4 45. a. (x + 2y)2 b. x = −2y
47. a. (x2 − 1)(x2 − 4) b. x = ±1, ±2
Section 0.4
1.
2x2 − 7x − 4
x2 − 1
3.
3x2 − 2x + 5
x2 − 1
5. x2 − x + 1
x + 1
7. x2 − 1
x 9.
2x − 3
x2 y
11. (x + 1)2
(x + 2)4 13. −1
(x2 + 1)3
15. −(2x + y)
x2(x + y)2
Section 0.5
1. −1 3. 5 5. 13/4 7. 43/7 9. −1 11. (c − b)/a
13. x = −4, 1/2 15. No solutions 17. ±
5
2
19. −1
21. −1, 3 23.
1 ± √5
2
25. 1 27. ±1, ±3
29. ±
−1 ± √5
2
31. −1, −2, −3 33. −3 35. 1
37. −2 39. 1, ±
√5 41. ±1, ±
1
√2
43. −2, −1, 2, 3
Section 0.6
1. 0, 3 3. ±
√2 5. −1, −5/2 7. −3 9. 0, −1, 1
11. x = −1 (x = −2 is not a solution.) 13. −2, −3/2, −1
15. −1 17. ±√4 2 19. ±1 21. ±3 23. 2/3 25. −4, −1/4
Chapter 1
Section 1.1
1. a. 2 b. 0.5 3. a. −1.5 b. 8 c. −8 5. a. −7 b. −3
c. 1 d. 4y − 3 e. 4(a + b) − 3 7. a. 3 b. 6 c. 2 d. 6
e. a2 + 2a + 3 f. (x + h)2 + 2(x + h) + 3 9. a. 2
b. 0 c. 65/4 d. x2 + 1/x e. (s + h)2 + 1/(s + h)
f. (s + h)2 + 1/(s + h) − (s2 + 1/s) 11. a. 1 b. 1 c. 0
d. 27 13. a. Yes; f (4) = 63/16 b. Not defined
c. Not defined 15. a. Not defined b. Not defined
c. Yes, f (−10) = 0 17. a. h(2x + h) b. 2x + h
19. a. −h(2x + h) b. −(2x + h)
21. 0.1*x^2-4*x+5
23. (x^2-1)/(x^2+1)
25. a. P(5) = 117, P(10) = 132, and P(9.5) ≈ 131. A