Question

The following table shows annual offshore crude oil production by a company in Mexico for 2008-2014. (t = 0 represents 2008.) 0 1 2 3 4 5 6 0.82 0.74 Yeart (year since 2008) Offshore Crude Oil Production p 0.72 0.67 0.67 0.67 0.65 (billion barrels) (a) Use the table to compute the left and right Riemann sums for p(t) over the interval [1, 6] using five subdivisions. left Riemann sum billion barrels of offshore crude right Riemann sum | billion barrels of offshore crude (b) What does the left Riemann sum in part (a) tell you about offshore crude oil production by the company? A total of | billion barrels of offshore crude were produced in the period 2009 to 2013

Answer 1

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ples sele 10.82 off 0.74 h = b-a =67 n 172 Th=1] 7-67067 067 p.65 0 >t 1 S 6 Left 2 3 4 Left-Riemann sum fa Riemann sum = 0.74 +0.72+0.67 to 674067 = 3.47 billion barrels plt) 10.82 0.8 0.72 0.7 0.67 0.67 0.67 0.65 0.68 t 0 s 6 1 2 3 4 Right - Riemann Sum Right Riemann sum = 0.72 +0.67 +067 70:67 +0.65 = (3.38 billion barrels b) The left Riemann sum in partta) shows that the oil production produced in the period 2009 to 2013 = 0.74 +0.72 +0.67 + 0.67 = 12.8 billion barrels