Question

I only need (c)

The Force, in Newtons, acting on a system was measured at several locations, yielding the following data 1.000 1.300 1.715 1.900 2.200 2.305 2.800 X F(x) 100 175 325 200 215 75 50 a) Use Simpson's Rule to approximate the work done, in N-m, on the system. That is 2.8 work done 1 b) What would be the degree of the LaGrange Polynomial that would Interpolate the data? c) Plot the data and make a Polynomial would look like. Comment on how well, or data. [ DO NOT CALCULATE THE POLYNOMIAL 1 rough sketch of what you believe the LaGrange Interpolating badly, you think it would represent the

Answer 1

fage 1 Solution! JIven data Set pert 1300 1.7/5 2-200 2-3 S 2.200 F (W 175 325 200 215 75 5 o Plot Matlab: Co de 2-8 0. -300 .9e 2.2 2 305 715 215 325 17S 2o Plt (x,9) Motlab qnsph. 350 3- 25. /50- 50. 2.2 24 2. 2.8 t .2. 1 4 pmtep. latig pelynomint loo ve a Lagnanyo hy perabrla thepd Clunve Laprange ntn paLading polyuemial of the diven olal 3 938903 -2.04K/0 93 541 K r6 395 2 17901x10 + +2624S4 X/, X 9-95392

plotdata.m MATLAB Drive 1 x=[1.0 1.3 1.715 1.9 2.2 2.305 2.8]; 2 y [100 175 325 200 215 75 50]; 3plot (x, y)

Yn? 46 .1l 93% i 07:37 Show Data Cursor Figure 1: plotdata 350 300 250 200 150 100 50 1.2 1.4 1.6 1.8 2.2 2.4 2.6 2.8