Question

10.53 points WaneAC6 6.3.048. 46 Ask Your Teache My Notes O The rate of change r(t) (in thousands of articles per year) of the total number of research articles in a prominent journal written by researchers in the United States is shown in the following graph. Here, t is time in years (t 0 represents the start of 1983) and a 7. Sa 4a 3a 2a 0 2 4 6 8 10 12 14 16 18 20 22 (a) Use both left and right Riemann sums with six subdivisions to estimate the total number of articles in the journal written by researchers in the United States during the 12-year period beginning at the start of 1993. (Estimate each value of r(t) to the nearest 1.75.) HINT [See Example 2. left sum thousand articles right sum thousand articles 22 (b) Use the answers from part (a) to obtain an estimate of rtt) dt. HINT [See Example 4.) Interpret the result. Since r(t) is given in thousands of articles per year, we conclude that a total of about articles in the journal were written by researchers in the U.S. in the year period beginning 1993.

Answer 1

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