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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 _Snipper (Free fire 🔥)

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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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Physics 6B AK_47 Rifles

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  Physics Ak- 47 Rifles  Paper -6B Unit-1_Production of Low Temperature 10M 1.Joule-Thomson effect or Adiabatic De-Magnetization 2.Linde's Air liquifer 3.Production of Liquid hydrogen  5M 1.Freezing Mixtures  2.Liquefaction of gases  3.Regenerative Cooling  4.Meissner effect  Unit-2_Measurement of Low Temperature  10M 1.Gas Thermometer  2.Vapour Pressure Thermometer  5M 1.Resistance Thermometers 2.Magnetic Thermometers 3.Thermo electric thermometers or thermo couples Unit-3_ Principles of Refrigeration  10M 1.Vapour Compression Refrigeration  2.Vapour absorption Refrigeration  5M 1.Types and methods of Refrigeration 2.Classification of refrigeration 3.Commonly used refrigerants  Unit-4_Components of Refrigeration  10M 1.Classification and Types of Compressors 2.Classification and Types of evaporators 5M 1.coefficient of Performance 2.Tons of refrigeration 3.Energy efficiency ratio Unit-5_Applicatons of Low Temp...
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