Computer Engineering Sem 4 Engineering Mathematics IV Question Paper PDF 2026 - Mumbai University | munotes
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Questions asked in this paper
- (4) Figures to the right indicate full marks
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Q3 a) Theory predicts that the proportion of beans in the four groups A, B, C, D should be
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Q9 3 In an experiment among 1600 beans the numbers in the four groups were 882, 313, 287 and 118. Does the experimental results support the theory? [6] (Given that Critical value of chi-square 3 d. f and 5% L.O.S is 7.81 )
- b) Obtain Taylor’s and Laurent’s series expansion of f(z) = 6
- c) Use the method of Lagrange’s multipliers to solve the following N.L.P.P fit a Poisson distribution to the following data [6] 8
- b) Find the inverse Z-transform of if ROCis (i) 6
- c) Show that the matrix A = | -8 3 is diagonalizable. Find the transforming matrix and the diagonal matrix. [8]
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Q5 a) Using the method of Lagrange’s multipliers to solve the following N.L.P.P 6 marks
- b) Verify Cayley- Hamilton Theorem for the matrix A = | 1 3 2 | 6
- c) Solve by the dual Simplex Method 8
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Q6 a) Find the Z-transform of f{k} = 6 marks
- b) The income of a group of 10,000 persons were found to be normally distributed with mean Rs.520 and standard deviation Rs.60. Find the lowest income of the richest 500. [6]
- c) Using Kuhn Tucker conditions, solve the following NLPP 8
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Computer Engineering Sem 4 Paper Path
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