Number 17 plz! Problem #2: (8 points) Given the following data table. Answer the questions below...
Problem 3: Interpolation, least squares, and finite difference Consider the following data table: 2 0 0.2 0.4 0.6 f(x) = 2 2.018 2.104 2.306 3 The quadratic Lagrange interpolator L2,0() used to quadratically interpolate between data points #1 = 0.12 = 0.2, and as = 0.4 is (Chop after 2 decimal places) None of the above -5.00x^2+7.50x+2.00 5.00x^2-1.00 12.50x^2-7.50x+1.00 25.05x^2-10.25%
Problem 3: Interpolation, least squares, and finite difference Consider the following data table: 2 = f(x) = 0.2 0.4 0.6 2 2.018 2.104 2.306 The quadratic Lagrange interpolator L2,0 (2) used to quadratically interpolate between data points 2 = 0.22 = 0.2. and 2'3 = 0.4 is (Chop after 2 decimal places) 25.05x^2-10.25x -5.00x^2+7.50x+2.00 12.50x 2-7.50x+1.00 5.00x^2-1.00 None of the above.
Consider the following data table: 0 2i = 0.2 0.4 f(xi) = 2 2.018 2.104 2.306 0.6 0.2 and 23=0.4 is The linear Lagrange interpolator L1,1 (2) used to linearly interpolate between data points 12 (Chop after 2 decimal places) None of the above. -2.50x+0.20 -5.00x+2.00 -5.00x+2.00 5.00x-1.00 Consider the following data table: 2 Ti = 0 0.2 0.4 0.6 f(x) = 2.018 2.104 2.306 0.2 and 23 = 0.4, the value obtained at 2=0.3 is Using Lagrange linear interpolation...