5. Let S = {a, b, c, d, e, f}, T = {a, c, d, e}, R = {a, c, f}. Find the following sets.(a) SnT(b) Sn (TnR)(c) T- (RNS)(d) Sketch a Venn diagram showing how S, T, and R relate to each other.

Answered: Image /qna-images/answer/737e9cdf-a63d-4991-a794-6bf604fc40c6.jpg

Answered: 5. Let S = {a,b,c,d,e, ƒ}, T =…

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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3.) Let X = {(0,0), (2,0), (0, 2), (2,233. Give an explicit expression orien by can for Rips (X, r) for each rzo.
a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g}, Y={a, b, c }}, and а. Z = {b, c , d, e, f} %3D a1. Find (X NY) U (YN X) a2. Find Y U (Y- X) b. Let A = {1, 2, 3} find A* A.
1. Let X = {1,2,3} with the topology 1={X,¢.{1,2},{2,3},{2}}. Verify whether X is regular or not. Explain your answer in details.
{1,2, a, b, Ø}. Denote S2 = S1 \ {Ø}. Then S2 n S, C S . Let Sj = Select one: True False Let Sj = {1, b, {c}} and S2 = {b, {c},3}. Then SI U S2 = {1,b, {c},3}. Select one: True False Let JA| = 10, |B| = 10, and A n B + Ø. Then |A U B| = 20. %3D %3D Select one: O True O False
Given the following sets, determine C n F. U= (0,1,2,3,4,5,...) C = {1,2,3,4,...) F=(3,6,9,12,...} Choose the correct answer below. OA. COF= {3} OB. CnF=(3,6,9,12,...} O'c. cn F= (0,1,2,3,4,5,...) OD. COF={1,2,3,4,...} OE. COF=Ø
1. For what values of k is the null space of A = a line?
2. Given a relation, R on A = {a, b, c, d} on as follows: R = {(a, a), (a, b), (a, d), (b, b), (b, c), (c, c), (c, d), (d, a), (d, d)} %3D Show the matrix of relation, MR and determine whether the relation, R is an equivalence relation.
D5)
1. Let = (1, 2). a. Explain graphically the set S = {(x, y) : (x − 3, y − 1) · √ = 0}. b. Draw the the points in set S in a Cartesian plane.
. Tell whether the following sets are open: (Justify your answer.) (a) (3,5) U {6} (b) (-∞, 0) U (0, 1) (c) {1, 2, 3, 4, 5, 6, 7, 8, 9) (d) (-∞, 0) U[0, 1) (e) Z (f) (-∞,0) U (0, 1] (h) R - {1, 2, 3} (j) { //: neN} U {0} (1) Qn (0,1) (g) (-∞,0) U [0, 1] (i) { //:ne N} (k) Q
2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y) e C x D, 1 (x, y) E S means that 1 is an integer. y a. Is 2 S 2? Is –1S – 1? Is (2, 2) e S? Is (2, –-2) e S? b. Write S as a set of ordered pairs.
(2) Let S := {1, ..., n}. Compute the number of towers of length of the form Aj c A2 c S, where A1 + Ø, A + A2, and A2 + S.

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5. Let S = {a,b,c,d,e, ƒ}, T = {a,c,d,e}, R = {a,c, ƒ}. Find the following sets.….. (a) SnT (b) Sn (TnR) (c) T- (RNS) (d) Sketch a Venn diagram showing how S, T, and R relate to each other.