Question 2. Show that for any integer n, 5|(n5 − n).

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A: 1) Given  f(x) = 2x - 3 g(x) = -4x2 + 9   f(x)*g(x)  = (2x - 3)*(-4x2 + 9)  = 2x*(-4x2 + 9) -3*(-4x2…

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A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

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A: This is very nice question in abstract algebra

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Q: EXERCISE 4.2 The four corner points of a bilinear surface are Poo = (0, 0, 1), P10 = (1, 0, 0), Po1…

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

A: 1. f(1)=4 So, h[f(1)]=h[4]=-42+2=-14 So, h[f(1)]/7=-14/7=-2   2. h(3)=-32+2=-7 So, 2h(3)=-7×2=-14…

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A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: EXERCISE 4.2 The four corner points of a bilinear surface are Poo = (0, 0, 1), P10 = (1, 0, 0), Po₁…

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