3. Cylindrical Method a. y = 9 – x2,y = 0, about the x - axis b. y = Vx, y = x, about x – axis

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Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

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Q: Z12 +12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a field? Why?

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

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Q: Q4) Solve the boundary value problem y 3y' + 2y 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5

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Q: 15. (i) Let A, B be 2 x 2 matrices over R and vectors x, y in R2 such that Ax = y, By = x, x"y = 0…

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