Download PTU B.Sc IT (BCA) 2019 May 2nd Semester 10051 MATHEMATICS II Question Paper

Roll No.

Total No. of Pages : 02

Total No. of Questions : 07

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B.Sc.(IT) (2015 & Onwards)/BCA (2013 & Onwards) (Sem.-2)

MATHEMATICS – II

Subject Code : BSIT/BSBC-202

M.Code: 10051

Time: 3 Hrs.

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Max. Marks : 60

INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains SIX questions carrying TEN marks each and students have to attempt any FOUR questions.

SECTION-A

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1. Answer the following :
   1. Define Symmetric matrix.
   2. Find the transpose of
      3 4
      -3 -5
   3. Define Invertible Matrix.

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   4. Define Mean.
   5. State measures of dispersion.
   6. Define Depreciation.
   7. Find the derivative of e^sinx
   8. Differentiate : x³ + 4x² – 3x + 5.

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   9. Find ∫ x/(x+1) dx
   10. State Trapezoidal Rule.

SECTION-B

2. Test for consistency and solve : 2x – 3y + 7z = 5, 3x + y − 3z = 13, 2x + 19y – 47z = 32.

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3. Calculate the mean and standard deviation of the following :

   Size	6	7	8	9	10	11	12
   Frequency	3	6	9	13	8	5	4	2

4. Find the maximum and minimum value of 3x⁴ – 2x³ – 6x² + 6x + 1 in the interval (0, 2).
5. Find the second derivative w.r.t. x if x = a cos³θ & y = a sin³θ.
6. Evaluate: ∫₀^π/2 log sin x dx.
7. Evaluate ∫₀¹ 1/(1+x²) dx by using (i) Trapezoidal rule. (ii) Simpson's 1/3 Rule.

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NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.

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