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

PTU Punjab Technical University B-Tech May 2019 Question Papers 3rd Semester B.Tech 3D Animation Graphics

Roll No.
Total No. of Pages : 02
Total No. of Questions : 18
B.Tech.(3D Animation & Graphics)(CSE/IT) (2012 Onwards)
(Sem.?3)
MATHEMATICS ? III
Subject Code : BTAM-302
M.Code : 70808
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1.
SECTION-A is COMPULSORY consisting of TEN questions carrying T WO marks
each.
2.
SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3.
SECTION-C contains T HREE questions carrying T EN marks each and students
have to attempt any T WO questions.



SECTION-A
Answer briefly :
1.
What do you mean by periodic functions? Also write period of Sinl00x.
2.
Explain properties of Laplace transformation.
3.
Define limit & Continuity of the function of complex variables.
4.
Write down Runge-kutta Method.
5.
Explain Poisson distributions.
6.
Evaluate L[t3e?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.
10. Define mean & variance.
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SECTION-B
11. If f(x) = |cosx|, expand f(x) as a fourier series in the interval (?,).

12. Evaluate the integral by using Laplace transform
?2t
t e

sint dt.
0
13. Solve the following partial differential equations :

a) p-q = log (x+y)

b) xp-yq = y2-x2
14. Solve : r?4s+4t = e2x+y where symbol's have their usual meaning
15. Determine the analytic function whose real part is e2x (x cos2y-y sin2y)

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


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



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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