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zmleri. 1. Find a polynomial P(x) of degree 3 or less whose graph passes through the four data points (2,8),(0,4),(1,2),(3,2). Use Newton's divided difference interpolation

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1. Find a polynomial P(x) of degree 3 or less whose graph passes through the four data points (2,8),(0,4),(1,2),(3,2). Use Newton's divided difference interpolation method. 2. Use Newton-Raphson Method to find the root to four correct decimal places for 3x3+x2=x+ 5 where x0=1. 3. Use finite difference approximations of O(h2) among forward difference (FD), backward difference (BD) and central difference (CD) to compute f(2.38) and f(2.38) from the following data: 4. Evaluate 01x2dx with Simpson's 1/3 rule using two, four, and six panels

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