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Engineering B.E. (Computer Engineering) Sem 3 Engineering Mathematics III May 2023 DSE Question Paper - Mumbai University | munotes

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Engineering Mathematics III Question Paper, May 2023.pdf
CMPN · 1 May 2025

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Older exam Dec 2022 Semester-end · Engineering Mathematics III → Newer exam May 2023 Semester-end · Engineering Mathematics III →

Questions asked in this paper

  • (3) Figures to the right indicate full marks
  1. Q1 a) Find L(t + + cost)? 5 marks
  2. Q1 b) Find the Fourier series for f(x) = x sinx in 71) 5 marks
  3. Q1 c) Find Karl Pearson’s coefficients of correlation between X and Y from the following data [5] is analytic, then find a, b,c,d [5] A random variable X has the following probability function [6]
  4. Q2 b) Determine the analytic function whose real part is u = e*cosy 6 marks
  5. Q3 a) Obtain the Fourier series for f(x) = (=) in the interval (0, 27) 6 marks
  6. Q3 b) A continuous random variable X has the = x = 0 6 marks
  7. Q4 a) Find L[f(t)], where f(t) 6 marks
  8. Q4 b) Compute Spearman’s rank correlation coefficient for the following data Obtain the Fourier series for [8] 6 marks
  9. Q5 b) Find L[(1 + sin2t)?] 6 marks
  10. Q5 c) Find the line of regression of Y on X for the following data 8 marks
  11. Q6 a) Find mean and variance for the following distribution 6 marks
  12. Q6 b) Find i) it) (1 Prove that the function f(z) = is analytic. Also, find its derivative. [8] 6 marks

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