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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE
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Mid Semester Examination - March 2019
Course: B. Tech in : S.Y. B.Tech. (Civil)
Max Marks: 20
Subject Name: Numerical Methods in Engineering
Date:- 14.3.19
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Sem: IV
Subject Code: CVE 2401
Duration:-1 Hr.
Instructions to the Students:
- Solve all questions
- Use non programmable calculator
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Multiple choice questions
- Using Gauss elimination method, the solution of equations 3x-5y=43, x+2y= - 4 is
A. x=6, y = - 5 B. x= - 6, y = - 5 C. x=6, y = 5 D. x= - 6, y = 5
- The root of the equation x2 – 3x2 + x - 10 = 0 lies between
?. (-3,-2) ?. (-1,0) C. (1,2) D. (2,3) - d =
- ?2yo =
- By Euler's method to solve differential equation y2 =
- Lagrange's formula is
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(Level/CO) | Marks |
---|---|
Remember | 6 |
Q.2 Solve Any Two of the following.
(A) Solve the equations using Guass -Seidel method
x+2y+3z=14
2x+5y+2z=18
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3x+y+2z=11
(B) Fit a straight line passing through the points
X | 0 | 1 | 2 | 3 | 4 |
---|---|---|---|---|---|
y | 1 | 1.8 | 3.3 | 4.5 | 6.3 |
(C) Find the missing terms, if the fifth order differences are zero
Year | 1961 | 1962 | 1963 | 1964 | 1965 | 1966 | 1967 |
---|---|---|---|---|---|---|---|
Production | 200 | 220 | 260 | --- | 350 | 430 |
Q. 3 Solve Any One of the following.
(A) Use Runge - Kutta fourth order method to find y(0.2) Given dy/ dx = xy + y2, y(0) = 1, h = 0.1.
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(B) Find f(x) using Newton's divided difference method
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X | 4 | 5 | 7 | 10 | 11 | 13 |
---|---|---|---|---|---|---|
f(x) | 48 | 100 | 294 | 900 | 1210 | 2028 |
Evaluate 3X2
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This download link is referred from the post: DBATU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. Babasaheb Ambedkar Technological University