An oil company considers which technology to use over the next 10 years. The quantities of oil ( barrels per year ) for each technology are given by f (t ) = lotz_t' and 9 ( t) = 13 - 20t2 + 10ot where t is time in years ( t E [o, 10] ) a) Draw the two functions, of and g on the same graph ( show max, min, and intercepts. Show your war b) Show that the total quanting yielded by the q tec nology is greater than the one yielded by the f technology at any time ( S' g dt > S, fat )