In this problem, use the general expressions for left and right sums, left-hand

Question

In this problem, use the general expressions for left and right sums, left-hand sum = f(t0) Delta t + f(t1) Delta t + + f(tn-1) Delta t and right-hand sum = f(t1) Delta t + f(t2) Delta t + + f(tn) Delta t, and the following table: If we use n = 4 subdivisions, fill in the values: Delta t = t0 = ; t1 = ; t2 = ; t3 = ; t4 = f(t0) = ; f(t1) = ; f(t2) = ; f(t3) = ; f(t4) = Find the left and right sums using n = 4 left sum = right sum = If we use n = 2 subdivisions, fill in the values: Delta t = t0 = ; t1 = ; t2 = f(t0) = ; f(t1) = ; f(t2) = Find the left and right sums using n = 2 left sum = right sum =

Explanation / Answer

A)=2 t0=0 f(t0)=30 t1=2 f(t1)=27 t2=4 f(t2)=26 t3=6 f(t3)=24 B)left sum=30*2+27*2+26*2+24*2=60+54+52+48=214 right sum=54+52+48+42=196 C) t0=0 f(t0)=30 t1=2 f(t1)=27 t2=4 f(t2)=26 D)left sum=60+54=114 right sum=54+52=106

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