1. In ℤ_4[x], compute the cube of f(x)=x-2 or determine (x-2)^3. (Note: each term in the sequence should only be one of the following 0,1,2,3. In Z_4, we write -1 as 3 since it is congruent to 3 modulo 4.) 2. QuestionIn ℤ_3[x], compute the 4th power of f(x)=x+2 or determine (x+2)^4. (Note: each term in the sequence should only be one of the following 0,1,2. In Z_3, we write -1 as 2 since it is congruent to 2 modulo 3.)

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A: using formula:-

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A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Q2. If (16*) (256) = 46, then find 40(9*+9-x) 9x-9-x

A: The given expression is 16x(256)=46 We have to find the 409x+9-x9x-9-x

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A: To Determine :-  Select the statements that are correct.

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Q: Suppose that: a) E1 [ -4  2 ] = [ -8  4 ] , find E1 and E1^(-1)          [ -4  4 ]     [ -4  4 ]

A: Since there are multiple questions posted, we will answer the first question (a). If you want the…

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A:

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A: First Question: (7) Given a1 = 3 , a2 = 7 and  an = 2an-1+an-2 then a3 = 2a2+a1 = 2*7+3 = 17 Hence…

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Q: x : x is a natural number less than 10​}

A: Write in explicit form

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A: Sol:- Given,    8,4.5,53,5.512By fitting the first four terms of the givensequency by third degree…

Q: (a) (1+n)-2

A: According to our terms and conditions I have solved first part for next parts repost

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A: We have to solve given problem:

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A: