Engineering FE Engineering Common Sem 2 Applied Mathematics II 2022 Summer Question Paper - Mumbai University | munotes

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Questions asked in this paper

University of Mumbai
Program: First Year (All Branches) Engineering
Time: 2 hour 30 minutes Max. Marks: 80
Choose the correct option for following questions. All. the
Questions are compulsory and carry TWO marks (20 Marks)
Particular Integral of DE (D? + 3D? — 4)y = e* is
The solution of the differential equation
The value of is
The value of |= (x* + dx is
The value of pe dr d@ is
The Integrating Factor of DE + mx dy is
Find the complementary function of + +4=xsinx
Changing the order of integration in double integral
f * leads to f y)dxdy then value of
The length of the straight line y= 2x +5 fromx=1tox =3 is
Solve any Four out of Six ( 5 marks each)
Prove that 5 log(1 assuming the
validity of differentiation under the integral sign
Change the order of integration and evaluate
Evaluate f ,overthe tetrahedron bounded by x =
Find the length of the cardioid r= lying outside the
Solve any Four out of Six 5 marks each
Solve the DE (D* — 2D + 1)y = , where D = =
Evaluate the integral I= dx dy over the region
bounded by the curves &y =X
Evaluate {{{ dxdydz over the solid of the paraboloid x* + y* =
4z cut off by the plane z = 4
Find the area common tor = a(1 + &r = a(1 — cos
Solve any Four out of Six 5 marks each
Change the order of integration and evaluate
Change to polar co-ordinates and evaluate fx +y dydx
Solve: —-y=— ing meth f variation of

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