Question

Use at least 4 decimal places in your calculations.

The arc length of a curve y = g(x) over interval as xsb is given as: sa 1+ (g'(x))2 da Approximate the arc length of g(x)= e " over osxs 1 using the composite Simpson's 1/3 rule with 5 points. At each point, calculate g'(x) using central difference formula of O(h2) and step size 0.1. Use at least 4 decimal places in your

Answer 1

0 gSolution Given that, I JIH (gl (x)) da a 9tx) = e-X glu) =-e-n (glex)) ? Flee? -le- OsXzI N=5, h=b-a N 1- 5 th 0.2

2 .. fin) - Suomi du en 0 The values of tabled for x and X 0 0:4 0.8 1:2 1.6 2 Y 1.4142 1.3609 Yo y 11122 1:2358 42 1.0379 11.0091 Y3 Yy YS using composite simpson's į rule Suit I (enz) dr =h Lyotys) +4(9,+43)+2/9,+44 D 3 - 0-2 03 (C1414271.001) (1.4142+1.0091) +(1.3609 + 1.1122)+2 (1:2358+1.0379) m2 (2 4233 +34931) +222 275) 3 -0.2 [ 16.8633]

w = 1.12422 Solution by composite simpson's Rule is 1.12422