Previous Year Very Short Questions of MATHS-3 (B-TECH electronics and communication engineering 3rd)

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Applied mathematics-3

Previous year question paper with solutions for Applied mathematics-3

Our website provides solved previous year question paper for Applied mathematics-3 . Doing preparation from the previous year question paper helps you to get good marks in exams. From our MATHS-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.

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  1. Write half range sine series of the function f (x) = x, in 0 < x < 2.
  2. Find Laplace transform of the function t2 cos 2t.
  3. Define analytic function. Give an example of the same.
  4. Form a differential equation from z = (x + a) (y + b).
  5. An infinitely long metal plate of width 1 with insulated surfaces has its temperature zero along both the long edges y = 0 and y = l at infinity. If the edge x = 0 is kept at fixed temperature T0 and if it is required to find the temperature T at any point (x, y) of the plate in the steady state, then state the boundary conditions for the same.
  6. State Cauchy’s Theorem.
  7. Define the Legendre’s equation of order n. What are its particular solutions called?
  8. State Cauchy Riemann equations in Cartesian and polar coordinates.
  9. Express 4x3–2x 2 –3x + 8 in terms of Legendre polynomials
  10. Define even and odd functions. Give an example of a function which is neither even nor odd
  11. Write the sufficient conditions for the existence of Laplace transform.
  12. Eliminate the arbitrary constants a and b from z = ax + by + a2b2, to obtain the partial differential equation.
  13. Show that Pn(1) = 1, where Pn(x) denotes the Legendre Polynomial.