Q2 An electrical device was measured for its current, 1 fluctuates at a number of different values of time, t. The results are given in the table below. Calculate the current, I at t = 1.4 second by using the following methods: t(s) 0.6 1.1 1.5 1.9 1(A) -0.6214 0.7114 1.9110 6.21 (a) The Lagrange interpolation with Linear and Quadratic approximation. (b) Newton's divided difference.
LIST OF FORMULA Bisection method: C = a;+b; 2 i = 0,1,2,... Xi+2= f(x) i = 0,1,2,... Secant method: x,f(x+1)-X+f(x) ,i = 0,1,2 ..... f(x+1)- f(x) Newton-Raphson method: x = x, f'(x) Newton's interpolation: f:O= f,i = 0,1, ... [-1] ) -, j = 1,2,...,n Xi+/-Xi P, (x)=f[0) + f(x– xo)+F!?(x– xo)(x -x)+...+f"(x - x)(x - x)---(x - X.) Lagrange interpolation: P, (x) = L;(x)f; for k=0,1,2,3,...,n with L,(x)=II Jit1 الا fu fitn"-f4-12 R н (x-x) 32,645, n L. 1-0 - (x; -x)
Q2 An electrical device was measured for its current, 1 fluctuates at a number of different values of time, t. The resul
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Q2 An electrical device was measured for its current, 1 fluctuates at a number of different values of time, t. The resul
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