Use Riemann Sums to estimate the following solution using both left and right su
ID: 3412857 • Letter: U
Question
Use Riemann Sums to estimate the following solution using both left and right sums for the given values for n.oil is leaking out of a tanker damaged at sea. the damage to the tanker is worsening as evidenced by the increasing leakage each hour, recorded in the following table.
Time (hours) 0 1 2 3 4 5 6 7 8
Leakage (gal/ hr) 50 70 97 136 190 265 369 516 720
a.) give an upper and lower estimate of the total quantity of oil that has escaped after 5 hours.
b.) repeat part (a) for the quantity of oil that has escaped after 8 hours.
Please Show your work. thank you.
Explanation / Answer
the width of each is 1 so just add up the values of the leakage.
(a)for left add the first 5: 50 70 97 136 190=543
for right add the five starting with the second value: 70 97 136 190 265 =758
(b) for left use first eight: 50 70 97 136 190 265 369 516 =1693
for right use last eight: 70 97 136 190 265 369 516 720=2363
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