Let Z, = { 0, 1, 2, 3, 4, 5, 6 } where each x e Z, is a least residue when an integer is divided by 7. %3D Write down the complete addition and multiplication tables for Z7.

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A: We have to solve given problem:

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Q: Evaluate E=z*p1•q1n1+p2•q2n2 for z*=2.33​, n1=2760​, n2=7885​, p1=0.0116​, q1=0.9884​, p2=0.0014​,…

A: Given, z  = 2.33 n1 = 2760 n2 = 7885 p1 = 0.0116 q1 = 0.9884 p2 = 0.0014 q2 = 0.9986

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Q: 1. Let, a1 = 7 and for n 2, an An-1 express an in terms ofn. %3D ". **

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A: Solution

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A: Given that           a, b∈ℤ with a|b. To prove an|bn  , we shall use mathematical induction.

Q: Let yk = k", where n is a positive integer; then Ak" = (k + 1)" – k" %3D (1.112) n = nk"-1 kn~2…

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Q: Construct the addition table for Zs. Using this table, or otherwise, determine the following x in…

A: Solution

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A: Let's find.

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Q: (목+)" Q41. Term independent of x in expansion of is? e 6x3

A: here is the solution

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Q: Let x0 =1, x1 =1.3, x2  =1.6 if x= 1.5, Q0,0 =0.7651977 and Q1,0 =0.6200860 find Q1,1 (1.5) Select…

A: It is given that, x0 =1, x1 =1.3, x2  =1.6 if x= 1.5, Q0,0 =0.7651977 and Q1,0 =0.6200860.

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