Prove that {12a +25b: a,b € Z} = Z. Prove that [3-x²,5+x²] = [3,5]. xЄR

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A: This is the final answer (or) you can write it as below also:

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A: Step 1: solution of answer (1)      Step 2: solution of question (2) Step 3: Step 4:

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A: Step 1: Eliminate the first element in the second row: R2 = R2 - 2*R1 1-j  1  -20  -j  1-j0  2+j…

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A: Step 1:Step 2:Step 3: Step 4:

Q: Discrete Math

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Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: Required code:import matplotlib.pyplot as plt import numpy as np # Define a simple circle for the…