Engineering FE Engineering Common Sem 2 December 2022 2022 Applied Mathematics II Question Paper - Mumbai University | munotes
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Questions asked in this paper
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Q2 Answer any three questions from the remaining questions Q2 to Q6
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Q3 Figures to the right indicate full marks
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Q1 a) Solve 5 marks
- b) Evaluate 5
- c) Solve +3D? +3D+1)y= e * 5
- d) Change to polar coordinates and evaluate [x dx dy 5
- b) Evaluate y dxdy_ throughout the area bounded by x=0, y= x” and xty=2 6
- c) Solve 8
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Q3 a) Evaluate the integral x yz dx dydz 6 marks
- b) Assuming the validity of differentiation under the integral sign, 6
- c) Solve +D)y= sinx 8
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Q4 a) Solve 6 marks
- b) Change the order of integration for the integral | f(x,y) dxdy 6
- c) Solve Using the method of variation of parameters 8
- b) Apply Runge-Kutta method of fourth order to find an approximate value of y at y=0.2 if =x+ given that y=1 when x=0 in steps of h=0.1 6
- a) Evaluate fev dx by Simpson’s 3/ rule. Take 6
- c) Evaluate (s
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