waHomework: Determined whether the following sets are open or closed in (R1) [a,b] x x [an, bn]; where a, b, ER; Vi= 1,..., n.2) S₁ = {(x₁,...,xn): x₁ >0}; U-1 Si ; N=1 Si.3) Any finite set in (R,.).4)irThe set Qc in (R,|-|).

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Answered: Homework: Determined whether the…

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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Q15B. Define the sets A, B, C, and D as follows: A = {y €Z: 2 < y ≤ 9 and y is odd}. B = {1, 4, 6} C = {y EZ: y ≤ 10 and y is even}. D = {y EZ: y ≤ 7 and y is positive} E = {-3, -1, 0, 5} Find A U E. *Express the set using roster notation and with values ordered smallest to largest, such as {-10, -3, 1, 6} (braces and commas are required; a space after each comma is also required).
The set {z €R: |r+ 3| + z > 2} equals Select one O a(-0, -3) U[-,00). O b.(-3, 0). Ocl0). Od none of the other answers. O el-,0)
Let A = [3, 8], and B= (-0, 4). Choose sets that are infinite and uncountable. O P(ANN) O P(AnQ) O B \ A° O B° nQ
-, answer the following questions: -w³ (w+2) ³ (w - 4) ³ (w - 3) Given m(w) w7 (w + 2) (w-3)³ (w +9)¹ Round all answers to 3 decimal places as needed. If the answer doesn't exist, type DNE. a) The domain of m in set notation and interval notation is: Set Notation: {w w is a real number and w Interval Notation: 0 (-∞, -9) U (-9, -2) U (-2, 0) U (0, 3) U (3, ∞0) b) The w-intercept(s) are: c) The vertical asymptotes of m are at w Write the answer(s) as just numbers separated by commas. d) m has a hole at the ordered pair: Write each hole as an ordered pair. Do not do any rounding until the final answer. e) The m(w)-intercept is: ODNE f) The end behavior of m is: RH: As w LH: As or wor → m(w) Om(w) -∞ (4,0) 8 -9,-2,0,3 Horizontal Asymptote: DNE Write the horizontal asymptote as y = # if it exists. If it doesn't exist, type DNE. OF 0, 9 (3,0), (-2, 607.247)
Let Si = { x ∈ R ∣ x > i } , i=0,1,2,... Are the sets S1, S2, S3 . . . are mutually disjoint?
The sets A = {x e I: x 1} then A = [-1; 1] Ture False
if A = {x ∈ N / x <= 2} B = {x ∈ Z / -2 < x < 1}How many different relationships from A to B are there?a) 2 b) 6 c) 36 d) 64. e) None of the above
U= {a, d, j, k, o, q, v} X = (a, j, o, v} Y = {a, d, j} Z = {d, j, k, o, q} Find the following set: (ZUX')'n Y Let: (ZUX')'nY= (Use a comma to separate answers as needed.) ***
3:33 Voul 3.31 l O0DO ITPRC1- Midterm Seat... Set IT PRC1 - Midterm Seatwork Name: Date Created: Given the following sets: U = {set of real numbers} A = {x| x is a positive real number} B = (x)x is a positive even number) C = (3, 5, 7, 9, 11} D= (-1, 1} Find: 1. AUB = 2. (ANC) U C = 3. ÅNB = 4. ICUD| = 5. IP(D)| = 6. P(C) = 7. CxD = 0000 Samsung Quad Camera *Jrwn
what does R mean in R-C=C' , is that a universal set ?

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Homework: Determined whether the following sets are open or closed in (R¹, 1) [a,b] x x [an, bn]; where ai, b₁ ER; Vi = 1, ..., n. 2) S₁ = {(x₁,...,xn): x₁ >0}; U/ 1 Si ; N=₁ Si. 3) Any finite set in (R,.). 4) The set Q in (R,|-|).