BSc IT Sem I 2015 2016 2016 Maths Paper I Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 Solve the following ( any two ) | 10 marks
   • a) Find the eigen value and elgen vector of following
   • c) Prove that the given matrix is orthogonal and also find
   • d) Show that given matrix are derogatory and find it’s minimal polynomial
2. Q3 Solve the following ( any two
   • b) So Check it Is exact or non-exact , if it Is non-exact apply formula &find general solution if
   • d)Determine orthogonal of all parabolas having vertices at (0,0) on x-axis,
3. Q4 Solve the following (any two) 10 marks
   • a)State &prove Bernoulll’s differential equation
   • b) Solve x2 +ylog y
   • c)Solve the linear differential equation xcosx +cosx) =1,
   • d)Solve =0,y(0) =0,y(0) =0, (0) =1
4. Q5 Solve the following (any two) 10 marks
   • a) If A= + yzj - xyk and , find
   • b) Prove that Is irrotational and find scalar potential @ such that
   • c) Find the acute angle between the surfaces x’ + + and at the (2.-1,2)
   • d) Prove that the four points whose position vectors are are cop Solve the following (any two )
   • b) State &prove Langranges Mean Valued Theorem

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