For any positive integers m, n (

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Q: (A) Let R =(Z12, +12,-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a fi-

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Q: Let I be a maximal proper ideal of commutative ring with identity R. Prove that R/I is a field.

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Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) y=(-2) (b) y= log₂ x (c) y= log₁x 2 -4 -3…

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Q: b) Consider the differential equation Find the following. (x + 1) y" + (2x + 1) y' - 2y = 0. (1)…

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Q: S Dari D₁¹ [23/15²] = tsint +

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Q: Q5:(A) Let R=(Z12+12, -12). Find a) Maximal ideals of R b) Is b) Is (Z12, (Z12, +12) +12) a a simple…

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Q: Prove that Fourier cosine transform of f(x) = cos(x), 0<x<3 is: 1/27 (³ sin 3(p-1), sin 3(p+1) p-1 +…

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Q: (.) I ху ff. f(x y). d) xerc find fr, fo التاريخ

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Q: Use separation of variables and find (if possible) product solutions for the following PDEs : 1. Ux…

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