{e, 9) € R² : 52. {(x,y) € R² : (y-x)(y+x) = 0} (y-x²)(y+x²) = 0}

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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8
C. Find the following cardinalities.
29. |{{1}, {2, {3,4}},ø}|
30, |{{1,4},a,b, {{3,4}}, {Ø}}|
31. |{{{1}, {2, {3, 4}},Ø}}|
32. |{{{1,4},a,b, {{3,4}}, {ø}}|
33. |{x € Z: \x| < 10}|
The Ca.
34. |{x €N: \x| < 10}|
35. |{x € Z:x² < 10}|
36. |{x €N:x² < 10}|
37. 1{z €N:x2 <아}
38, |{x €N: 5x < 20}|
Th
exam
Fig
eler
D. Sketch the following sets of points in the x-y plane.
39. {(x, y):x€ [1,21,y € [1,2]}
40. {(x,y):xE [0, 1], y e [1,21}
41. {(x, y) : x € [-1, 1], y = 1}
42. {(2, y): x= 2,y € [0, 1]}
43. {(x,y): |2| = 2,y E [0, 1)}
44. {(x, x*) : x € R}
45. {(x, y) : #,y € R,x² + y² = 1}
46. {(x, y) : x,y € R,x² + y² s 1}
47. {(x, y) : x, y € R, y z x² – 1}
48. {(x, y) : x, y € R, x> 1}
49. {(x,x+ y) ;x € R, y € Z}
50. {x, 등): xeR,yEN}
51. {(x, y) e R² : (y – x)(y +x) = 0}
(52, {(x,y) e R² : (y–x²)(y + x²) = 0}
A
ele
1.2 The Cartesian Product
Given two sets A and B, it is possible to "multiply" them to produce a new
set denoted as Ax B. This operation is called the Cartesian product. To
understand it, we must first understand the idea of an ordered pair.
Definition 1.1 An ordered pair is a list (x, y) of two things x and y,
enclosed in parentheses and separated by a comma.
For example, (2. 4) is an oud
Transcribed Image Text:8 C. Find the following cardinalities. 29. |{{1}, {2, {3,4}},ø}| 30, |{{1,4},a,b, {{3,4}}, {Ø}}| 31. |{{{1}, {2, {3, 4}},Ø}}| 32. |{{{1,4},a,b, {{3,4}}, {ø}}| 33. |{x € Z: \x| < 10}| The Ca. 34. |{x €N: \x| < 10}| 35. |{x € Z:x² < 10}| 36. |{x €N:x² < 10}| 37. 1{z €N:x2 <아} 38, |{x €N: 5x < 20}| Th exam Fig eler D. Sketch the following sets of points in the x-y plane. 39. {(x, y):x€ [1,21,y € [1,2]} 40. {(x,y):xE [0, 1], y e [1,21} 41. {(x, y) : x € [-1, 1], y = 1} 42. {(2, y): x= 2,y € [0, 1]} 43. {(x,y): |2| = 2,y E [0, 1)} 44. {(x, x*) : x € R} 45. {(x, y) : #,y € R,x² + y² = 1} 46. {(x, y) : x,y € R,x² + y² s 1} 47. {(x, y) : x, y € R, y z x² – 1} 48. {(x, y) : x, y € R, x> 1} 49. {(x,x+ y) ;x € R, y € Z} 50. {x, 등): xeR,yEN} 51. {(x, y) e R² : (y – x)(y +x) = 0} (52, {(x,y) e R² : (y–x²)(y + x²) = 0} A ele 1.2 The Cartesian Product Given two sets A and B, it is possible to "multiply" them to produce a new set denoted as Ax B. This operation is called the Cartesian product. To understand it, we must first understand the idea of an ordered pair. Definition 1.1 An ordered pair is a list (x, y) of two things x and y, enclosed in parentheses and separated by a comma. For example, (2. 4) is an oud
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