apply the midpoint and trapezoid rules to the following integral. Make a table s
ID: 2887936 • Letter: A
Question
apply the midpoint and trapezoid rules to the following integral. Make a table showing the approximations and error Score: 0 of 1 pt 7.7.21 Apply te Midpoint and Traperzoid Rdles to the tolowing integal Maba atable showing the approximations and erors for n-4,8 16,and 32 80112 (6 complete) HW Sco integral is given for computing the eror (3x2-2x) 100 Complete the following table Lype integers or decimals) Absolute Error in Absolute Error in nM(n) T(n) Enter your answer in the edit fields and then click Check Answer Clear All Check OK 0 PExplanation / Answer
f(x)=(3x2-2x),a=1 ,b=5 ,
for n=4:
x=[b-a]/n=(5-1)/4 =1
mid points are x=1.5,2.5,3.5,4.5
M(4) =x[f(1.5)+f(2.5)+f(3.5)+f(4.5)]
M(4) =1*[(3(1.5)2-2(1.5))+(3(2.5)2-2(2.5))+(3(3.5)2-2(3.5))+(3(4.5)2-2(4.5))]
M(4) =99
T(4) =(x/2)[f(1)+2*f(2)+2*f(3)+2*f(4)+f(5)]
T(4) =(1/2)[(3(1)2-2(1))+2*(3(2)2-2(2))+2*(3(3)2-2(3))+ 2*(3(4)2-2(4)) +(3(5)2-2(5)) ]
T(4) =102
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n M(n) T(n) absolute error in M(n) absolute error in T(n) 4 99 102 1 2 8 99.75 100.5 0.25 0.5 16 99.9375 100.125 0.0625 0.125 32 99.9844 100.031 0.015625 0.03125Related Questions
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