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Engineering B.E. (Computer Engineering) Sem 3 Engineering Mathematics III Dec 2018 Question Paper - Mumbai University | munotes

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Engineering Mathematics III Question Paper, Dec 2018.pdf
CMPN · 1 May 2025

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Older exam None: this is the earliest we hold
Newer exam May 2019 - R16 Semester-end · Engineering Mathematics III →

Questions asked in this paper

  1. Q2 Attempt any three from the remaining six questions
  2. Q3 Figures to the right indicate full marks b Find the Orthogonal Trajectory of the family of curves given by c Find Complex Form of Fourier Series for
    • d. If the two regression equations are 5x — 6y + 90 = 0, 8y 180 = 0, find the means of x and y, the Correlation Coefficient and Standard deviation of x if variance of Y is 1
  3. Q2 Show that the function is Harmonic and find the Harmonic Conjugate v = e* .cosy + x? - b Find Laplace Transform of = [6] 6 marks
    • c. Find Fourier Series expansion of f(x) x7 -1<x<l 8
  4. Q3 a Find the Analytic function log{x? + y? b Find Inverse Z transform of [6] Solve the Differential Equation +4y= y(0) y'(0) using Laplace Transform 6 marks
  5. Q4 a Find if (1) b Find the Spearman’s Rank correlation coefficient between X and Y c Find the inverse Laplace transform of i) ii) [3] 6 marks
    • Q. P. Code : 24408 b Show that the functions =1, =x are Orthogonal on (-1,1). Determine the constants a, b such that the function bx? is Orthogonal to both fo(*) [6]
  6. Q6 degree parabola to the given data bFind the image of |z = 5 under the transformation w= [6] c Find Half Range Cosine Series for and hence find = [3]

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