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over the per year) L 7) An oil company considers which technology to use next 10 years. The quantities of oil (barrels for each technology

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over the per year) L 7) An oil company considers which technology to use next 10 years. The quantities of oil (barrels for each technology are given by f(t) = 10$-t and g(t) = {}-2ot? + loot, where t is time in years ( telo, 10 103) a) Draw the two functions, f on the same graph (show max, min, and in tercepts. Show your work) b) show that the total quantity yielded by the g tech- nology is greater than the one yielded by the f technology at any time or Sugdt > f dt). > S and

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