х 2 (тоd 3) х 3 3 (тоd 5) х34 (тоd 11)

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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Solve it as soon as possible
1. Find all solutions to the system of congruence. (Use CRT)
x = 1 (mod 2)
x = 2 (mod 3)
х%33 (тоd 5)
x = 4 (mod 11)
2. Encrypt the following message using RSA cryptosystem.
Message : THIS , with n=2633 and e=29.
3. Solve the following liner non-homogeneous recurrence
relation.
an = 4an-1 – 4 an-2 + (n + 1)2" with a, = 2 and a, = 5.
6r.Ramar
Transcribed Image Text:1. Find all solutions to the system of congruence. (Use CRT) x = 1 (mod 2) x = 2 (mod 3) х%33 (тоd 5) x = 4 (mod 11) 2. Encrypt the following message using RSA cryptosystem. Message : THIS , with n=2633 and e=29. 3. Solve the following liner non-homogeneous recurrence relation. an = 4an-1 – 4 an-2 + (n + 1)2" with a, = 2 and a, = 5. 6r.Ramar
4. Simplify the following sum of product expansions by Quine-McCluskey
method F(x, y,z) = w x y z + w x y z +w xỹ z +wx yz +wiỹ z+
w x ỹ z + w š y z+ wiỹ z
5. Use Dijkstra's algorithm to determine a shortest path in the weighted
graph with minimum total weight.
S to T
P
R
Y
T
8
3
AssignmenMT
Transcribed Image Text:4. Simplify the following sum of product expansions by Quine-McCluskey method F(x, y,z) = w x y z + w x y z +w xỹ z +wx yz +wiỹ z+ w x ỹ z + w š y z+ wiỹ z 5. Use Dijkstra's algorithm to determine a shortest path in the weighted graph with minimum total weight. S to T P R Y T 8 3 AssignmenMT
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