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Mathematics, 17.07.2019 20:30 kimloveswim

Acompound c is formed when two chemicals a and b are combined. the rate of the reaction is proportional to the amounts of a and b remaining. for every 3 grams of a used, 5 grams of b are used, producing 8 grams of c. it is observed that 20 grams of c are formed in 15 minutes. initially there are 80 grams of a, 100 grams of b, and 0 grams of c. (see pp. 96-97 for a similar example.) dx dt note: -=k(grams ofa remaining att)(grams ofb remaining att), where x= grams of c produced. determine the amount of c at any time. that is, calculate x as a function of time. b) how much of c is present at 30 minutes? round answer to two places. (beware of round-off error.) c) determine how many grams of a, b, and c are present as t → oo.

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