Write a MATLAB program to simulate the following:
1) {๐‘ˆ๐‘›}={2,1,โˆ’1,0,2,3,4,5} . ( Hint โ€˜stemโ€™ function) [10 Marks]
2) {๐›ฟ๐‘›โˆ’4}={1 ๐‘“๐‘œ๐‘Ÿ ๐‘›=40 ๐‘“๐‘œ๐‘Ÿ ๐‘› โ‰ 0 ( Hint โ€˜impseqโ€™ function) [15 Marks]
3) {๐‘ˆ๐‘›โˆ’3}={1 ๐‘“๐‘œ๐‘Ÿ ๐‘›โ‰ฅ30 ๐‘“๐‘œ๐‘Ÿ ๐‘› <3 ( Hint โ€˜stepseqโ€™ function) [15 Marks]
4) Solve the difference equation ๐‘ฆ(๐‘›)โˆ’32๐‘ฆ(๐‘›โˆ’1)+12(๐‘›โˆ’2)=๐‘ฅ(๐‘›) for ๐‘›โ‰ฅ0. Where ๐‘ฆ(โˆ’1)=4 and ๐‘ฆ(โˆ’2)=10 , ๐‘ฅ(๐‘›)=(14)๐‘›๐‘ข(๐‘›) . ( Hint โ€˜filticโ€™ and โ€˜filterโ€™ functions) [20 Marks

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