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Engineering B.E. (Computer Engineering) Sem 3 Engineering Mathematics III Dec 2022 DSE Question Paper - Mumbai University | munotes

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Engineering Mathematics III Question Paper, Dec 2022.pdf
CMPN · 1 May 2025

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Older exam Dec 2019 - CBSGS Semester-end · Engineering Mathematics III → Newer exam Dec 2022 Semester-end · Engineering Mathematics III →

Questions asked in this paper

  • (3) Figures to the right indicate full marks
  1. Q1 (a) Find the Laplace Transform of + — sin2tcos3t 5 marks
    • (b) Find the Fourier series of f(x) =x, 05
    • (c) Calculate Spearman’s coefficient of rank correlation from the following 05
    • (d) Find the constants a, 05 Determine whether the function f(z) = + y”) is 06 analytic and if so, find its derivative
    • (b) A random variable X has the following probability distribution 06 Find the Fourier series of f(x) = 06
    • (b) random variable has probability density function 06 Find the inverse Laplace transform of Find the Laplace Transform of 06 where f(t) and f(t)=sint,
    • (b) Calculate the Karl Pearson’s coefficient of correlation from the following 06 Find the Fourier series of f (x) = 0g
  2. Q5 Find the inverse Laplace transform of Find the Laplace transform of (=) 6 marks
    • (c) Find the lines of regression for the following data
  3. Q6 (a) Find the mean and the variance of the following distribution Bind the inverse Laplace transform of log (1 + 06
    • (c) the analytic function f(z) = u+iv whose imaginary part is 08

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