Maths paper 4 _Unit -4 Derivatives Notes

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Real Analysis paper 4 10 M questions Answers

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1.State prove Cauchys general principle of Convergence? 1 2  2.Show that given problems are Convergence? [Model sums] 1 2 3 4 5 6 7 3.D Alemberts Ratio test  1 2 3.Cauchy nth root test  3 4 4.Rolles Theorem 1 2 5.Lagranges Mean value theorem  3 4 6.Cauchys Mean value theorem  5 6 7 7.Rieman integral model sums(monotonic, continuous) 1 2 3 4 8.Every function defined and continuous on a closed interval attain it's bounds?                                         1                                         2
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Maths 7B - (8M,5M,2M) Snipper shot 🔫🔫🔫 Unit-1-Laplace Transforms _Sin,cos,e^x, First, second shifting and change of scale of property theorems   ( model sums on the theorems) Unit-III_Inverse Laplace Transforms _Sin,cos,e^x, First, second shifting and change of scale of property theorems  ( model sums on the theorems) Unit-II _Bessels sums -8M Differentiation model sums (Derivative, integration  of product)- 5M,2M Unit-IV _Abels problem -8M Convolution and differentials  sums -5M,2M Unit-V _Finite or infinite cos and sine Fourier transforms sums -8M Parsvel identity , Convolution, Modulation theorems -5M,2M
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