Engineering FE Engineering Common Sem 1 2019 December 2019 Applied Mathematics Question Paper - Mumbai University | munotes
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Questions asked in this paper
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Q2 Attempt any three questions from Q.2 to Q.6
- (d) Express the following matrix as sum of symmetric and skew symmetric Show that log( 1+ sinx )= x - + (4) 3
- (a) Solve the Equation x* - x3 + x? - x + 1=0 6
- (b) Reduce the following Matrix to the Normal form and hence find the rank of the matrix Find the value of ay 6
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Q3 (a) (a) Investigate for what values of and y the system of equations have 1) unique solution, 2) Infinite solutions, 3) No solution 6 marks
- (b) Find the Extreme values of f(x,y)= xy+ a3( + ) 6
- (c) Separate into real and imaginary parts of 8
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Q4 (a) yu2=x-y Find 6 marks
- (b) If log cos( atib Prove cosh2y +cos 2x Solve the following Equations by Gauss Seidel method Upto four 6
- (c) If x) Prove that ( + + And hence findy3(0) 8
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Q6 (a) (a) Show the following vectors are linearly dependent and find the relation between them 6 marks
- (b) If z=f(x,y) =ucoshv Prove 6
- (c) Fit the curve of the form y= ab* to the following data. 8
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