Problem 1.58 Check the divergence theorem for the function v = r? sin© î + 4r² cos e ê + r² tan 0 @, Problem 1.56 Compute the line integral of v = (r cos² 0) î – (r cos @ sin@) ê + 3r

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Q: 3 Let I be an ideal of the ring R and define the set ann (1) ={rERIra=o, VaE Prove that ann (I)…

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Q: Qs: (A) Let R be a ring with identity. Define g:Z → Z by g(x) = x. 1, Vx € Z. Is a a homorphism?…

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Q: Ql: what's the relation between prime and semiprime ideals.

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Q: Problem 4 (a) Prove p is prime if and only if Z/pZ is an integral domain. (b) (i) Work out the…

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Q: Q6: Define the Boolean ring. Is (Z,+,.) Boolean?

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Q: Q23. Find the maximal ideals of Zg.

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Q: IM 6.15 1. Write another function that has the same graph as y = 2 cos(2) – 1. 2. Describe how the…

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Q: 5-The Center of aring R dented by cent CR)i the set Cent CR) - [CERIC.X= X-C,V XER? %3D Prove that…

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Q: Q4)(a) Find the maximum eigen value for the system A = with initial vector x' (0) = (0.0299 1)

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Q: The tendency to seek and accept information that conforms to our already existed beliefs and to…

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

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Q: Consider the following topology on X = {a, b, c, d, e}: T = {X,0, {a}, {a, b}, {a, c, d}, {a,b, c,…

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Q: Q1/ Use the simplex method to Solve the following problem? Max Z = 8 x1 + 10 x2 +7 x3 Subject to: x1…

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Q: Q1: Define each of the following a) Abelian group b) Integral domain ring c) Principal ideal e)…

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Q: 8. Let n > 2. Consider the n xn symmetric tridiagonal matrix over R c10 0 1 0 с 1 ... 1 ... 0 1 ..…

A: Given: n≥2 To find: Determinant of An