and K be set functions In exercises 31- 60 below, let F, G, L defined by: [a,b] R and vs SR², K([a,b]) = 4x²[a,b], P([a,b]) = x² dx, G(S) - ff. x+y dA, L(s) - $y²ax + x²ay 31. P([1,3]} 34. G([1,2] [2,3]) 37. G(D₁(0,0)) 32. P([-1,1]) 35 G([0,11²) 38. G(D₁ (1,0)) 33. P([0,2]) 36. G([0,212) 39. G(D₁ (0,1))

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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Given the information provided by the image. How do I solve 31 and 38?
In exercises 31- 60 below, let F, G, L and K be set functions
defined by: [a,b] R and VS SR², K([a,b]) = 4x²[a,b],
31. F([1,3])
34. G([1,2][2,3])
37. G(D₁(0,0))
40. G(D₂(1,1))
43. K([1,3])
46. DF (1)
49.
52.
P([a,b]) - x² dx, G(S) - SS₁ x+y da, L(S)-y²ax + x²ay
25
55.
58.
DG (1,1)
DK (1)
DK (0)
DL(1,1)
32.
35
38. G(D₁(1,0))
41. K([1,2])
44.
K([-1,1])
47.
DF (2)
50.
DG (2,3)
53.
DK (2)
56.
DK (4)
59.
DL(2,3)
F([-1,1])
G([0,112)
33. P([0,2])
36. G([0,212)
39. G(D₁(0,1))
42. K([0,2])
45. K([-1,2])
48.
DF (-1)
51.
DG (3,-1)
54.
DK(-1)
57. DK(-2)
60.
DL(3,-1)
Transcribed Image Text:In exercises 31- 60 below, let F, G, L and K be set functions defined by: [a,b] R and VS SR², K([a,b]) = 4x²[a,b], 31. F([1,3]) 34. G([1,2][2,3]) 37. G(D₁(0,0)) 40. G(D₂(1,1)) 43. K([1,3]) 46. DF (1) 49. 52. P([a,b]) - x² dx, G(S) - SS₁ x+y da, L(S)-y²ax + x²ay 25 55. 58. DG (1,1) DK (1) DK (0) DL(1,1) 32. 35 38. G(D₁(1,0)) 41. K([1,2]) 44. K([-1,1]) 47. DF (2) 50. DG (2,3) 53. DK (2) 56. DK (4) 59. DL(2,3) F([-1,1]) G([0,112) 33. P([0,2]) 36. G([0,212) 39. G(D₁(0,1)) 42. K([0,2]) 45. K([-1,2]) 48. DF (-1) 51. DG (3,-1) 54. DK(-1) 57. DK(-2) 60. DL(3,-1)
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