This download link is referred from the post: PTU B.Tech 5th Semester Last 10 Years 2011-2021 Previous Question Papers|| Punjab Technical University
Roll No. Total No. of Pages : 02
Total No. of Questions : 18
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B.Tech. (ECE) (Sem.-5)
MATHEMATICS Ill
Subject Code : BTAMXXX18
M.Code : 78750
Time : 3 Hrs. Max. Marks : 60
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INSTRUCTIONS TO CANDIDATES :
- SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
- SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
- SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.
SECTION-A
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Write briefly :
- Find the Z-Transform of ak.
- Prove that L(eat)=1/(s-a) if s>a.
- State first shifting theorem in Laplace transformation.
- State the formula to calculate the Fourier coefficients.
- What are the Dirichlet’s conditions for Fourier Series?
- State the shifting property in Z-Transform.
- A coin is tossed successively three times. Determine the probability of getting (i) Exactly two heads (ii) at least two heads
- Define Probability Density Function (P.D.F).
- Determine the Binomial Distribution when mean is 9 and whose standard deviation is √2.
- Write a short note on Correlation.
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SECTION-B
- Calculate the coefficient of rank correlation from the data given as :
Marks in Statistics Marks in Company Law 20 14 30 5 40 30 50 32 60 40 70 45 80 65 - A die is thrown 10 times. If getting an even number is a success. What is the probability of getting at least 6 successes?
- Find the z-transform of (i) sin3t (ii) cos2t
- State and prove Convolution theorem for Fourier Transforms.
- Evaluate L-1 {log (1+1/s)}
- Prove that x cos x = (π/4) sin(nx) for x ∈ (-π, π).
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SECTION-C
- Solve 6x (k+2)—x (k+1)—x(k)=0; x(0)=0;x (1)=1 by using Z-Transforms.
- Fit the curve y = a + bx2 to the data :
X y 10 8 20 10 30 15 40 21 50 30
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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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This download link is referred from the post: PTU B.Tech 5th Semester Last 10 Years 2011-2021 Previous Question Papers|| Punjab Technical University