numerical interpolation

numerical interpolation

Assessment

Assessment

Created by

Omar Lateef

Mathematics

3rd Grade

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Hard

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5 questions

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1.

Multiple Choice

15 mins

1 pt

Media Image

Estimate f(1.5) using Lagrange interpolation.

−0.8673

-0.7214

−0.9773

-0.9113

2.

Multiple Choice

15 mins

1 pt

Find f(2) for the data f(0) = 1, f(1) = 3 and f(3) = 55 using Newton's divided difference formula.

25

21

23

32

3.

Multiple Choice

15 mins

1 pt

Media Image

Find f(0.25) using Newton's divided difference formula

3.826

3.2567

3.2113

3.912

4.

Multiple Choice

15 mins

1 pt

Media Image

3.125

3.327

3.542

3.837

5.

Multiple Choice

2 mins

1 pt

Given the two points (a,f(a)),(b,f(b))\left(a,f\left(a\right)\right),\left(b,f\left(b\right)\right)   , the linear Lagrange polynomial  f1(x)f1\left(x\right)   that passes through these two points is given by

 f1(x)=xbabf(a)+xaabf(b)f1\left(x\right)=\frac{x-b}{a-b}f\left(a\right)+\frac{x-a}{a-b}f\left(b\right)  

 f1(x)=xbaf(a)+xbaf(b)f1\left(x\right)=\frac{x}{b-a}f\left(a\right)+\frac{x}{b-a}f\left(b\right)  

 f1(x)=f(a)+f(b)f(a)ba(ba)f1\left(x\right)=f\left(a\right)+\frac{f\left(b\right)-f\left(a\right)}{b-a}\left(b-a\right)  

 f1(x)=xbabf(a)+xabaf(b)f1\left(x\right)=\frac{x-b}{a-b}f\left(a\right)+\frac{x-a}{b-a}f\left(b\right)  

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