Computer Engineering Sem 4 Engineering Mathematics IV Question Paper PDF 2026 - Mumbai University | munotes
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Questions asked in this paper
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Q5 According to Time shifting property of z-transform, if X(z) is the z-transform of x(n) then what is the z-transform of x(n-k)? The value of |——| is
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Q7 If a random variable X follows Poisson distribution such that P(X=0)=6P(X=3), find the mean and variance of the distribution In normal distribution If the primal LPP unbounded solution then the dual has
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Q10 The value of Lagrange’s multiplier 2 for the following NLPP is Solve any Four out of Six 5 marks each A Given 2 1 find the eigenvalues of A. Also find eigenvalues of and eigenvector of A* — Evaluate — iy)dz along the path (i) x? = y (ii) y=x The following table gives the number of accidents in a city during a week. Find whether the accidents are uniformly distributed over a week Solve by Simplex Method Solve the following NLPP Solve any Four out of Six 5 marks each Find the Eigen values and Eigen Vectors of the following matrix Evaluate { dz where C is the circle |z| = 3 The height of six randomly chosen sailors are in inches: The height of 10 randomly chosen soldiers are: Solve by the dual Simplex Method F Find the relative maximum or minimum of the function Solve any Four out of Six 5 marks each Show that the following matrix is diagonalizable. Also find the diagonal form and a diagonalizing matrix 3 = Find the inverse z-transforms of ; If the heights of 500 students is normally distributed with mean 68 inches and standard deviation 4 inches, estimate the number of students having heights (i) greater than 72 inches
- (ii) less than 62 inches between 65 and 71 inches
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