2. Suppose N= {1,2,3...} is the universal set and A = {n :ns7} B = {n : 3s ns 10} %3D C = {2,4,6,8,10} D = {2,3,5,7,8} Find (i) (4©B)U(B®C) (ii) (4®C)U(B®D) (iii) BN(4®D)(iv) (ANB)®(AND) 3. Prove that a = b(mod7)is an equivalence relation by taking suitable examples. 4. Let p and q be positive integers and suppose F is defined as follows F(p.q)={" p< q\ F(p-q)+1_p2q find (i) F(2,5) (ii) F(12,5) (iii) What is work of F (iv) F(5861,7)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Suppose N= {1,2,3...} is the universal set and
A = {n :ns7} B = {n : 3s ns 10}
%3D
C = {2,4,6,8,10} D = {2,3,5,7,8}
Find (i) (4©B)U(B®C)
(ii) (4®C)U(B®D)
(iii) BN(4®D)(iv) (ANB)®(AND)
3. Prove that a = b(mod7)is an equivalence
relation by taking suitable examples.
4. Let p and q be positive integers and suppose
F is defined as follows
F(p.q)={"
p< q\
F(p-q)+1_p2q
find (i) F(2,5) (ii)
F(12,5) (iii) What is work of F (iv) F(5861,7)
Transcribed Image Text:2. Suppose N= {1,2,3...} is the universal set and A = {n :ns7} B = {n : 3s ns 10} %3D C = {2,4,6,8,10} D = {2,3,5,7,8} Find (i) (4©B)U(B®C) (ii) (4®C)U(B®D) (iii) BN(4®D)(iv) (ANB)®(AND) 3. Prove that a = b(mod7)is an equivalence relation by taking suitable examples. 4. Let p and q be positive integers and suppose F is defined as follows F(p.q)={" p< q\ F(p-q)+1_p2q find (i) F(2,5) (ii) F(12,5) (iii) What is work of F (iv) F(5861,7)
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