Engineering FE Engineering Common Sem 2 Applied Mathematics II Dec 2018 CBSGS Question Paper - Mumbai University | munotes

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Older exam Dec 2018 - R16 Semester-end · Applied Mathematics II → Newer exam May 2019 - R16 Semester-end · Applied Mathematics II →

Questions asked in this paper

Duration — 3 Hours Total Marks: 80
(1) N.B.:- Question no 1 is compulsory
(2) Attempt any THREE questions out of remaining FIVE questions
b) the particular integral of (D +2)y = x’ (3)
Express the following integral in polar co-ordinates: (4)
b) Change the order of integration and evaluate
c) Evaluate J show that
b) Find the area between the circles + 4ax = 0 and (6)
c) ay (8)
4a) Find the total length of the curve sn , cos @ from (6)
b) Solve + (6)
c) Use Runge-Kutta method of fourth order , compute y(0.2) given (8)
y'+ =0,y(0) =1 by taking h=0.1 correct to 4 decimal point
State duplication formula and prove that |— |== 2 (6)
b) Using Taylor’s series method, obtain the solution of the differential (6)
Find the volume bounded by the paraboloid z = 4 and the 8)
6a) coiled up near the edge of a smooth table starts to fall over the (6)
edge. The velocity v when a length x has fallen is given by x v = ex
b) Find the mass ofa plate I the form of a cardioid r = cos @) if the (6)
density at any point of the plate varies as its distance from the pole
rule. Compare it with exact solution

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