Download DBATU B.Tech 2019 March 3rd Semester NMME Question Paper

DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE

Mid Semester Examination – March 2018

Course: S.Y. B. Tech.

Sem: III

Subject Name: NMME

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Subject Code: BTMEC404

Max Marks: 20

Date:-

Duration:- 1 Hr.

Instructions:

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1. All questions are compulsory.
2. Use of non-programmable calculator is allowed.
3. Figures to the right indicate full marks.

Q. 1 Do as directed.

1. Round off the number 86767 to four significant digits. (Understand/CO1) (6 Marks)
2. The number of significant digits in 0.0800 are _____. (Understand/CO1)

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3. Well-conditioned systems are those where small changes in coefficients result in _____ changes in the solution. (Understand/CO2)
   a. large b. small c. no change d. none of these
4. Write the sum of 124 and 0.751 with regard to significant figures. (Understand/CO1)
5. For x + 2y = 10, 1.05x + 2y = 10.4. Calculate the value of x. (Apply/CO2)
6. The root of the equation e^x - sinx = 0 lies between _____. (Understand/CO2)
   

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   A. (-1,0) B. (0,1) C. (1,2) D. none of these

Q.2 Solve Any Two of the following. (6 Marks)

1. A body travels uniformly a distance of (13.8 ± 0.2)m in a time (4.0 ± 0.3)sec. Compute the velocity with error limits. What is the percentage error in velocity? (Apply/CO1)
2. Compute one root of 3 sinx - 2x + 5 = 0 correct to four decimal places by the Newton-Raphson method. (FirstRanker.com) (Apply/CO2)
3. Find one root of x³- 2x - 5 = 0 correct to three decimal places by the bisection method. (Apply/CO2)

Q. 3 Solve Any One of the following. (8 Marks)

1. Explain the ill-conditioned system and well-conditioned system? Given the system:
   

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   x+y-z = -3
   6x + 2y+2z = 2
   -3x + 4y + z = 1
   Solve by naïve Gauss elimination with partial pivoting. Show all the steps of computations. (Apply/CO2)
2. Compute one root of x sinx + cosx = 0 correct to four decimal places by the Newton-Raphson method. (FirstRanker.com) (Apply/CO2)

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