PTU B.Tech 3D Animation Graphics Engineering 3rd Semester May 2019 70808 MATHEMATICS III Question Papers

Roll No.

Total No. of Pages : 02

Total No. of Questions : 18

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B.Tech.(3D Animation & Graphics)(CSE/IT) (2012 Onwards)

(Sem.-3)

MATHEMATICS – III

Subject Code : BTAM-302

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M.Code: 70808

Time: 3 Hrs.

Max. Marks : 60

INSTRUCTIONS TO CANDIDATES :

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

SECTION-A

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Answer briefly :

1. What do you mean by periodic functions? Also write period of Sin100x.
2. Explain properties of Laplace transformation.
3. Define limit & Continuity of the function of complex variables.
4. Write down Runge-Kutta Method.

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5. Explain Poisson distributions.
6. Evaluate L[te^3t].
7. Find the differential equation of all spheres of fixed radius having their centres in the xy-plane.
8. Discuss the conditions for a fourier expansion.
9. Explain t-distribution.

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10. Define mean & variance.

SECTION-B

11. If f(x) = |cosx|, expand f(x) as a fourier series in the interval (-p,p).
12. Evaluate the integral by using Laplace transform ?te sint dt.

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13. Solve the following partial differential equations :
    1. p-q = log (x+y)
    2. xp-yq = y²-x²
14. Solve: r-4s+4t = e^2x+y where symbol's have their usual meaning
15. Determine the analytic function whose real part is e^2x (x cos2y-y sin2y)

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SECTION-C

16. Apply Gauss-Seidel iteration method to solve the equations 20x + y – 2z = 17, 3x + 20y – z = -18, 2x + 3y + 20z = 25
17. What do you mean by normal distribution equations? If in a normal distribution, 31% of the items are under 45 & 8% are over 64. Find the mean & standard deviation of the distributions.
18. Two random samples are drawn from two normal populations are shown below :

    A	B
    17	16
    18	25
    27	29
    13	17
    16	20
    27	26
    25	21

    Test whether the samples are drawn from the same normal population.

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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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