# Let f(x) = x2 and compute the Riemann sum of f over the interval [7,9], using the following number of subintervals (n). In each case, choose the representative points to be the right endpoints of the subintervals. (Round your answers to two decimal places.)(a) Use two subintervals of equal length (n = 2). (b) Use five subintervals of equal length (n = 5). (c) Use ten subintervals of equal length (n = 10).

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Let f(x) = x2 and compute the Riemann sum of f over the interval [7,9], using the following number of subintervals (n). In each case, choose the representative points to be the right endpoints of the subintervals. (Round your answers to two decimal places.)

(a) Use two subintervals of equal length (n = 2).

(b) Use five subintervals of equal length (n = 5).

(c) Use ten subintervals of equal length (n = 10).

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Step 1

Find the intervals first. help_outlineImage Transcriptionclose7,b = 9,n = 2. We have that a 9 7 Therefore, A = 1. 2 Divide the interval 7,9] into n 2 subintervals of length Ax = 1: a = [7,8],[8,9] = b fullscreen
Step 2

Now, we evaluate the function at the left endpoints.

Finally,  sum up the above values and multiply by delta x=1

1(49+64)=113 help_outlineImage Transcriptionclosef (x0) = f(a) f (7) = 49 = 49 f (r1)=f(8) 64 = 64 fullscreen
Step 3

b) Find the interv... help_outlineImage Transcriptionclose7,b = 9,n = 5 We have that a 9 7 51 2 Therefore, Ar Divide the interval [7,9] into n 5 subintervals of length Ax 39 41 41 43 37 39 37 a 7, 43 - 5 5 5 5 fullscreen

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