Write a MATLAB program to simulate the following:

Write a MATLAB program to simulate the following:
1) {𝑈𝑛}={2,1,−1,0,2,3,4,5} . ( Hint ‘stem’ function) [10 Marks]
2) {𝛿𝑛−4}={1 𝑓𝑜𝑟 𝑛=40 𝑓𝑜𝑟 𝑛 ≠0 ( Hint ‘impseq’ function) [15 Marks]
3) {𝑈𝑛−3}={1 𝑓𝑜𝑟 𝑛≥30 𝑓𝑜𝑟 𝑛 <3 ( Hint ‘stepseq’ function) [15 Marks]
4) Solve the difference equation 𝑦(𝑛)−32𝑦(𝑛−1)+12(𝑛−2)=𝑥(𝑛) for 𝑛≥0. Where 𝑦(−1)=4 and 𝑦(−2)=10 , 𝑥(𝑛)=(14)𝑛𝑢(𝑛) . ( Hint ‘filtic’ and ‘filter’ functions) [20 Marks

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