Download PTU BCA 2020 March 4th Sem BC 301 Mathematics II Question Paper

Roll No. ________________

Total No. of Questions : 07

Total No. of Pages : 02

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BCA (Sem.-4)

MATHEMATICS-II

Subject Code : BC-301

M.Code : 10022

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. Write briefly :
   1. Define Square matrix.
   2. Find the rank of $\left[\begin{array}{cc}1& 2\\ -1& 4\end{array}\right]$
   3. Find the determinant of $\left[\begin{array}{cc}2& 4\\ 3& 5\end{array}\right]$
   4. State Measures of Central tendency.
   5. Define Skewness.

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   6. Differentiate: sinx.
   7. Differentiate : logtanx.
   8. Integrate: x^1/2
   9. Integrate: e^x.
   10. State Trapezoidal Rule.

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SECTION-B

2. Solve: 5x + 3y+7z = 4; 3x + 26y+2z = 9; 7x + 2y + 10z = 5.
3. Find the missing frequency from the following data when the arithmetic mean is 34 marks and then find the median.

4. If $A=\left[\begin{array}{ccc}2& 1& 0\\ 3& 2& 1\\ 1& 0& 1\end{array}\right]$ and $B=\left[\begin{array}{ccc}2& 3& 4\\ 0& 1& 2\\ 1& 0& 5\end{array}\right]$ , Find AB and BA.

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5. Integrate by parts: ?xsin x dx.
6. Find the second derivative of x² log₃x.
7. Compute by Simpson's rule an approximate value of ?₁⁷ x^-3 dx by taking seven equidistant ordinates. Compare it with the exact value and the value obtained by using the Trapezoidal rule.

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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