01 (lOpts) A) Use two-segment trapezoidal rule to estimate the integral of  f(x)=[0

Subject:MathPrice:3.85 Bought3

Share With

01 (lOpts) A) Use two-segment trapezoidal rule to estimate the integral of 
f(x)=[0.1+5x-9x2 +1x3 -3x4 
From a=0 to b= 0.4 Hint: h=0.2 & n is number of segments b) find approximate error in trapezoidal rule using the formula Express results up to 4 decimal points zormula sheet: 
a = xo xn =b 
a-1 b f (x)dx et- -x,xf(x,,,)± f(x,)) J a 1=0 2 
Special Case ( Equaliy spaced base points) 
xi+, — xi =h for all i 
I r • f (x)dx h 2 [— Lf(x„)+ •f(x„)i-FE.f(x) 
Error = — b — a h2 fis (e) where c 12 h— a 2 max Error < h (x)1 12 xc[a,b] 
02. (lOpts) Consider the following ODE: 
- (1 - 3 x)j y = 0 y(0) =1.1, h = 0.1 
Use Euler Method to find y(0.1),y(0.2) & y(0.3) Express your calculations to SD rounded. 
bl