Let n be a positive integer. Prove 41+3n mod 9.

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Q: 2 if A= /3 12 If 057 9 1-4, B- 30 -1 4-62 that i) A+B = 1/2 (2A + 2B :') (AB)" =B³A² ii) -1 "A")…

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Q: 6. Consider [n] := {1,2,3,...,n}. The uniform subset graph U(n, k, i) has vertex- set the k-subsets…

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Q: =2) Calculate & ydx + xz² dy - zy³ dz, where c is the circle x² + y² = 4, Z=3 (conterclockwise)…

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Q: To what values does the Fourier sine series converge at z = =0, x= π/2, x = π, x = 3π/2, and z = 2π?

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