Important questions for Nov Dec 2016 MA6459 Numerical Methods examinations conducting by Anna University Chennai

B.E./ B.Tech. DEGREE EXAMINATION Nov Dec 2016

04th Semester / II Year

Department of Civil Engineering

MA6459 Numerical Methods

(Regulation 2013)

Nov Dec 2016 Important Questions

Important 16 Marks Questions with answers (All five units) are listed for MA6459 Numerical Methods subject

6. (i) Using Newton’s forward interpolation formula find the value of y(46) from the following

X: 45 50 55 60 65

Y: 114.84 96.16 83.32 74.48 68.48

(ii) Using Newton’s divided difference formula From the following table , Find f(9) from the

following

x: 5 7 11 13 17

y: 150 392 1452 2366 5202

7. (i) Using Newton’s backward formula find the 6th term of sequence 8, 12, 19, 29, 42 .

(ii) From the following table find the number of students who obtain marks between 40 and 45

Marks : 30 - 40 40 -50 50 – 60 60 – 70 70 - 80

No of stu : 31 42 51 35 31

8. (i) Using Newton’s backward formula find f(7.5) from the following table

X : 1 2 3 4 5 6 7 8

Y: 1 8 27 64 125 216 343 512

(ii) Find f(2),f(8) and f(15) from the following using Newton’s divided difference formula

x: 4 5 7 10 11 13

y: 48 100 294 900 1210 2028

9. (i) Find the natural spline

x: 0 1 2 3

y: 1 4 0 -2

(ii) Using Lagrange’s method Find x when y = 20 from the following

x: 1 2 3 4

y: 1 8 27 64

10. (i). Using Newton’s forward interpolation formula find the value of 1995 from the following table

x: 1951 1961 1871 1981

y: 35 42 58 84

(ii) Using Newton’s divided difference formula From the following table, find f(8)

X: 3 7 9 10

F (x): 168 120 72 63

B.E./ B.Tech. DEGREE EXAMINATION Nov Dec 2016

04th Semester / II Year

Department of Civil Engineering

MA6459 Numerical Methods

(Regulation 2013)

Nov Dec 2016 Important Questions

Important 16 Marks Questions with answers (All five units) are listed for MA6459 Numerical Methods subject

6. (i) Using Newton’s forward interpolation formula find the value of y(46) from the following

X: 45 50 55 60 65

Y: 114.84 96.16 83.32 74.48 68.48

(ii) Using Newton’s divided difference formula From the following table , Find f(9) from the

following

x: 5 7 11 13 17

y: 150 392 1452 2366 5202

7. (i) Using Newton’s backward formula find the 6th term of sequence 8, 12, 19, 29, 42 .

(ii) From the following table find the number of students who obtain marks between 40 and 45

Marks : 30 - 40 40 -50 50 – 60 60 – 70 70 - 80

No of stu : 31 42 51 35 31

8. (i) Using Newton’s backward formula find f(7.5) from the following table

X : 1 2 3 4 5 6 7 8

Y: 1 8 27 64 125 216 343 512

(ii) Find f(2),f(8) and f(15) from the following using Newton’s divided difference formula

x: 4 5 7 10 11 13

y: 48 100 294 900 1210 2028

9. (i) Find the natural spline

x: 0 1 2 3

y: 1 4 0 -2

(ii) Using Lagrange’s method Find x when y = 20 from the following

x: 1 2 3 4

y: 1 8 27 64

10. (i). Using Newton’s forward interpolation formula find the value of 1995 from the following table

x: 1951 1961 1871 1981

y: 35 42 58 84

(ii) Using Newton’s divided difference formula From the following table, find f(8)

X: 3 7 9 10

F (x): 168 120 72 63

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