Download DBATU B.Tech 2019 March 3rd Semester Numerical Methods and Programming Question Paper

DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE

Mid Semester Examination - Oct 2018

Course: B. Tech in EEP

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Sem: III

Subject Name: Numerical Methods and Programming

Subject Code: BTEEC404

Max Marks: 20

Duration:- 1 Hr.

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Date:-14/03/2019

Instructions to the Students:

1. Assume Suitable Data if required.
2. Use of Programmable calculators is prohibited.

Q.1

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1. When limited significant figures are used to represent an exact number, it is called as:
   1. True Error
   2. Truncation Error
   3. Round Off Error
   4. Relative error

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2. What is the operation of 'det(a)' function in MATLAB?
   1. Transpose
   2. determinant
   3. inverse
   4. none of these

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3. Δf(x) =
   1. {f'(x) - f(x)}
   2. {f(x) - f'(x)}
   3. {f(x)f'(x)}
   4. {f(x) – f'(x)}

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4. % ε_α = ?

   1. Approximate error

      --------------------- × 100

      True Value

   2. True error

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      --------------------- × 100

      True Value

   3. Relative error

      --------------------- × 100

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      Approximate Value

   4. Approximate error

      --------------------- × 100

      Approximate Value

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5. A Maclaurin's series is a Taylor series expansion of a function about 0.
   1. True
   2. False

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6. Chopping is a type of round off error in which the last significant digit is rounded up by '1' if the first discarded digit is greater than or equal to five.
   1. True
   2. False

Q.2 Solve Any Two of the following.

1. Suppose that you have the task of measuring voltage, current & power of a system. First, you use an analog meter which measures voltage as 239V, current as 2.9A, and power is obtained by formula (V x I). But then, an accurate measurement was carried out by Digital Multimeter where voltage was 228V & current was 2.2A. Find a) True Error b) True Relative Error & c) True percentage relative error in Voltage, current & Power.

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2. Use Maclaurin's series expansion to find the true value of e^x where the value of x=0.5 and also find the true percentage error. (Calculate up to 4th order approximation)
3. Given values of f(x) = x³ with x = 2.5 with an error of △(x) = 0.01 estimate the resulting error in function f(x) = x³

Marks 6 EEP

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