6.3_Riemann_Sums_summer

6.3_Riemann_Sums_summer - five subintervals of equal length...

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6.3 Riemann Sums How does one approximate the area between a graph and the x-axis? A Riemann Sum can be used to approximate area under a graph n R n = Σ f(x i ) * (Δx) on [a,b] i = 1 for f(x i ) > 0 Where Δx = b-a n for a given number, n, of partitions. 1. For f(x) =10 - x 2 Calculate the area between the graph and the x axis on the interval [-1,2] given the graph. (see Maple problem) For f(x) =8 - x 2
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Let . Compute the Riemann sum of f over the interval [ 1 , 3 ], using two subintervals of equal length ( n = 2);
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Unformatted text preview: five subintervals of equal length ( n = 5); ten subintervals of equal length ( n = 10). In each case, choose the representative points to be the right end points of the subintervals. Select the correct answer. 10.32 sq units; 9.48 sq units; 13 sq units; 13 sq units; 9.48 sq units; 10.32 sq units; 9.48 sq units; 10.32 sq units; 13 sq units; 13 sq units; 10.32 sq units; 9.48 sq units; 13 sq units; 10.32 sq units; 10.48 sq units;...
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This note was uploaded on 10/07/2011 for the course MATH 1431 taught by Professor Vaughn during the Spring '08 term at LSU.

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6.3_Riemann_Sums_summer - five subintervals of equal length...

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