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SPRING 2016, ASSIGNMENT

PROGRAM BCA(REVISED FALL 2012)SEMESTER 3SUBJECT CODE &NAME

BCA3010 - COMPUTER ORIENTED NUMERICAL METHODS

CREDIT 4BK ID B1643 MAX. MARKS 60

ANSWER ALL THE QUESTIONS.Q.No QUESTIONS Marks Total

Marks

1

Find the Taylors Series for ( ) = − 10 6 about = 3

10 10

2.Find a real root of the transcendental equation cos x – 3x+1 = 0,correct to four decimal places using iteration method.

10 10

3. Solve the equations

2x + 3y + z = 9

x + 2y + 3z = 6

3x + y + 2z = 8

by LU decomposition method.

10 10

4. Fit a second degree parabola y = a + bx + cx 2 in the least square

method for the following data and hence estimate y at x = 6.

X 1 2 3 4 5 Y 10 12 13 16 19

10 10

5. The population of a certain town is shown in the following table

Year x 1931 1941 1951 1961 1971

Population y 40.62 60.80 79.95 103.56 132.65 Find the rate of growth of the population in 1961.

10 10

6. Solve of + − 2 + = . 10 10