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Engineering FE Engineering Common Sem 2 Applied Mathematics II Dec 2019 CBSGS Question Paper - Mumbai University | munotes

Applied Mathematics II Question Paper, Dec 2019.pdf
HAS · 351 KB · 1 May 2025

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Older exam Dec 2019 - R16 Semester-end · Applied Mathematics II → Newer exam 2022 - Summer Semester-end · Applied Mathematics II →

Questions asked in this paper

  1. Q2 Attempt any THREE questions out of remaining FIVE questions
  2. Q3 Figures to right indicate full marks
    • b) Find the particular integral of 3
    • d) Sketch the region of integration Fs
    • e) Prove that Using Euler’s method find the approximate value of y, where and y(1) when x = 1.5 in five steps taking h=0.1 3
    • b) * ax 1 Show that 5 Hence evaluate J Change to polar and evaluate | = ( Aa? 4 y) Evaluate Where V is the volume in the first Solve by method of variation of eters olve by method of variation of param: de dx 6
    • b) +2D* + x* +sin* x dx + with the conditions x = 1, y = 1.5 in the interval (1, 1.2) with h = 0.1 correct to 4 decimals 5 a) The density at any point of acardioid (6) square of its distance from its axis of symmetry. Find its mass 6
    • b) An equation in the theory of. stability of an aeroplane is dt being velocity and g, k being constants. It is observed that at time t = 0, the velocity v = 0. Solve the equation Evaluate by using (i) Trapezoidal Rule, (ii) Simpson’s Rule and (iii) Simpson’s (3/8)" Rule. Also find the error the length of the arc of the curve measured from t = Oto any point 6
    • c) Find the volume cut off from the paraboloid x’ +4 +z=1 by the 8

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