Engineering FE Engineering Common Sem 2 May 2019 2019 Applied Mathematics II Question Paper - Mumbai University | munotes
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Questions asked in this paper
- (3) Figures to the right indicate full marks
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Q3 a) Evaluate I= xdx
- b) Evaluate [ | throughout the volume of the sphere x’ + +z? =a’ Apply method of variation of parameter to solve < + (8) 6
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Q4 a) Find the mass of a plate in the form of a cardioid r = , if the density at any point of the plate varies as its distance from the pole Using fourth order Runge-Kutta method, solve numerically, the (8) differential equation with the given condition y(1) =2, find y at 6 marks
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Q5 a) Evaluate xy dxdy over the region bounded by 6 marks
- b) A resistance of 100 Q and inductance of 0.5 H are connected in series with a battery of 20 V. Find the current at any instant if the relation between L, R, 6
- c) Evaluate by using (i) Trapezoidal Rule, (ii) Simpson’s Rule and (iii) Simpson’s (3/8)" Rule. Compare the result with exact solution
- b) Show that the length of the parabola =4ax from the vertex to the end of the latus rectum is + log(I + Find the volume bounded by the paraboloid + =aZ andthe (8) 6
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