Question

Let f(x)=10-2x

a.) Sketch the region R under the graph of f on the interval [0,5], and find its exact area using geometry.

b.) Use a Riemann sum with five subintervals of equal length (n=5) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals.

c.) Repeat part (b) with ten subintervals of equal length (n=10).

d.) Compare the approximations obtained in parts (b) and (c) with the exact area found in part (a). Do the approximations improve with larger n?

Answer 1

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