Numerical analysis i UE Past Papers Questions.


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(331) Question Category: Mathematical Calculation

Find the positive root off(x)=x^3-6x^2+11x-6=0 using bisection method (do 4 iteration)

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(332) Question Category: Mathematical Calculation

Establish a linear interpolating polynomial and computeln(9.2) from ln9.0 = 2.1972, ln9.5 = 2.2513 by newton`s interpolating polynomial and determine the error from ln9.2 = 2.2192

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(337) Question Category: Mathematical Calculation

Approximate the positive square root 2 using Newton`s method with x_0=1.5 (do 4 iteration)

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(341) Question Category: Mathematical Calculation

Given the general points {(x_1,y_1),(x_2,y_2), ..........,(x_n,y_n)}

  • derive the general form of the Lagrange Polynomials so thaty_1=f(x_1) for i = 1, n.
  • from (A) above, show that Lagrange Polynomial can be expressed as linear combination  of L_k
  • write the Langrange polynomial for the data below and interpolate the value of y given x = 0.5
x -1 0 1
y 1 -1 2

 

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(510) Question Category: Mathematical Calculation

What is the two`s complement  of the binary number 10010010?

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