Previous Year Very Short Questions of M-3 (B-TECH civil engineering 3rd)

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Engineering mathematics-3

Previous year question paper with solutions for Engineering mathematics-3

Our website provides solved previous year question paper for Engineering mathematics-3 . Doing preparation from the previous year question paper helps you to get good marks in exams. From our M-3 question paper bank, students can download solved previous year question paper. The solutions to these previous year question paper are very easy to understand.

These Questions are downloaded from www.brpaper.com You can also download previous years question papers of 10th and 12th (PSEB & CBSE), B-Tech, Diploma, BBA, BCA, MBA, MCA, M-Tech, PGDCA, B-Com, BSc-IT, MSC-IT.

Question papers (year-wise)
Very short questions
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  1. State and prove Second Shifting property for Laplace Transform
  2. State Rodrigue’s formula for Legendre polynomials
  3. Find solution of homogeneous partial differential equation 2r – 5s + 2t = 0.
  4. If f(z) is analytic and Im f(z) is constant then show that f(z) is constant
  5. Define even and odd functions. Give an example of a function which is neither even nor odd.
  6. Write the sufficient conditions for the existence of Laplace transform
  7. Find the Fourier series of the function f(x) = x, –  < x < .
  8. Show that Pn(1) = 1, where Pn(x) denotes the Legendre Polynomial
  9. Eliminate the arbitrary constants a and b from z = ax + by + a2 b2 , to obtain the partial differential equation.
  10. Write half range sine series of the function f (x) = x, in 0 < x < 2
  11. Define analytic function. Give an example of the same
  12. Form a differential equation from z = (x + a) (y + b)
  13. State Cauchy’s Theorem
  14. State any one property of “conformal mapping”.
  15. Show that Pn(1) = 1, where Pn(x) denotes the Legendre Polynomial
  16. Write the sufficient conditions for the existence of Laplace transform
  17. Compute the residue at all singular points of the function f(z) = cot z.