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 recurrencerelation.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-McCluskeymethod 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 z5. Use Dijkstra's algorithm to determine a shortest path in the weightedgraph with minimum total weight.S to TPRYT83AssignmenMT

Given as, x=1mod2x=2mod3x=3mod5x=4mod11 As per rule, allowed to answer first question and post the…

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

Math

Advanced Math

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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

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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