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Suppose that a and b are integers, a = 4 (mod 13), and b = 9 (mod 13). Find the integer c with 0 < c < 12 such that а) с%3D 9а (mod 13). b) c = 11b (mod 13). с) с %3D а+b (mod 13). d) с %3D 2а + 3Ь (mod 13). e) c = a? + b² (mod 13). f) с %3D а3 — Ь (mod 13).

Suppose that a and b are integers, a = 4 (mod 13), and b = 9 (mod 13). Find the integer c with 0 < c < 12 such that а) с%3D 9а (mod 13). b) c = 11b (mod 13). с) с %3D а+b (mod 13). d) с %3D 2а + 3Ь (mod 13). e) c = a? + b² (mod 13). f) с %3D а3 — Ь (mod 13).

Advanced Engineering Mathematics
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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13. Suppose that a and b are integers, a = 4 (mod 13), and b = 9 (mod 13). Find the integer c with 0 <c < 12 such that а) с %3D 9а (mod 13). b) c = 11b (mod 13). с) с %3D а+b (mod 13). d) с %3D 2а + зЬ (mod 13). e) с3D а? +b? (mod 13). 3 – b3 (mod 13). f) c = a -
Transcribed Image Text:13. Suppose that a and b are integers, a = 4 (mod 13), and b = 9 (mod 13). Find the integer c with 0 <c < 12 such that а) с %3D 9а (mod 13). b) c = 11b (mod 13). с) с %3D а+b (mod 13). d) с %3D 2а + зЬ (mod 13). e) с3D а? +b? (mod 13). 3 – b3 (mod 13). f) c = a -
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