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Left Riemann Sum Expression

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Using the graph of f(x)=2∗x+1f(x)=2*x+1 shown above, which of the following expressions correctly represents the left Riemann sum approximation with 5 equal subintervals over the interval [0,5]?

A

[f(0)+f(1)+f(2)+f(3)]∗Δx=(1+3+5+7)∗1=16[f(0)+f(1)+f(2)+f(3)]*\Delta x=(1+3+5+7)*1=16

B

[f(0)+f(1)+f(2)+f(3)+f(4)]∗Δx=(1+3+5+7+9)∗1=25[f(0)+f(1)+f(2)+f(3)+f(4)]*\Delta x = (1+3+5+7+9)*1=25

C

[f(1)+f(2)+f(3)+f(4)+f(5)]∗Δx=(3+5+7+9+11)∗1=35[f(1)+f(2)+f(3)+f(4)+f(5)]*\Delta x = (3+5+7+9+11)*1=35

D

f(0)+f(5)2∗5=(1+11)/2∗5=30\frac{f(0)+f(5)}{2}*5=(1+11)/2*5=30

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