Let n be an integer, -5+- 10 for i=0,1,2,...,n, and y = 71 (a) Given 11...

 

Transcribed Image Text:

Let n be an integer, ₁-5+- 10 for i=0,1,2,...,n, and y = 71 (a) Given 11 data points (₁,₁). i=0,..., n for n = 10, approximate the value of y at ar = 4.8 by using piecewise linear interpolation. (b) Let n = 10. Interpolate the 11 data points (₁), i = 0,...,n by using the "spline" command in MATLAB (with not-a-knot conditions). Plot the graphs of the spline interpolant and y for a € [-5,5] on the same axis. (c) Find the cubic spline function S(r) that interpolates the three data points (x, y), i = 0, 1, 2 where n = 2 satisfying S'(-5) = S'(5) = 0. Let n be an integer, ₁-5+- 10 for i=0,1,2,...,n, and y = 71 (a) Given 11 data points (₁,₁). i=0,..., n for n = 10, approximate the value of y at ar = 4.8 by using piecewise linear interpolation. (b) Let n = 10. Interpolate the 11 data points (₁), i = 0,...,n by using the "spline" command in MATLAB (with not-a-knot conditions). Plot the graphs of the spline interpolant and y for a € [-5,5] on the same axis. (c) Find the cubic spline function S(r) that interpolates the three data points (x, y), i = 0, 1, 2 where n = 2 satisfying S'(-5) = S'(5) = 0.

Answer rating: 100% (QA)

a To approximate the value of y at x 48 using piecewise linear interpolation we need to find the two ... View the full answer