Engineering FE Engineering Common Sem 1 2019 May 2019 Applied Mathematics I Question Paper - Mumbai University | munotes
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Questions asked in this paper
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Q2 Attempt any three questions from the remaining five questions
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Q3 Figures to the right indicate full marks If u + log find
- b) the value of tanh(log x) if x = V3 03 Express the matrix —2i 0 1+ 2i | asthe sum of a Hermitian and a Skew-Hermitian matrix Expand in powers of (x =) 04
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Q2 a) Expand sin’@ of sines of multiples of 6 marks
- b) If find 06
- c) the stationary values of x2 + y? —3axy, 08
- a) the real root of x — 1.2 correct to three places 06 of decimals using Newton-Raphson method
- b) Show that the system of equations 06 can posses a non-trivial solution only if A = = —3. Obtain the general solution in each case If tan(a + isin prove that 08 Q a) Using the encoding matrix as encode and decode the message
- b) If u=f(e* then prove that 06
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Q5 a) Tf 1, are the roots of — 1 = 0, find them and show Find n which will make (r 6 marks
- C) Find the root (correct to three places of decimals) of x? — 4x —9 = 0 08 lying between 2 and 3 by using Regula-Falsi method
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Q6 Find non-singular matrices P and Q such that A= (2 3.5 i) is reduced to normal form. Also find its rank 6 marks
- b) the principle value of (1 + 06
- c) Solve the following equations by Gauss-Seidel method 08
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