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Question Number 144301 by liberty last updated on 24/Jun/21
Answered by imjagoll last updated on 24/Jun/21
weconverttherateof2t+3litersperminuteto60(2t+3)=120t+180litersperhours.ThetotalamountofwaterinthetankattimeThourspastnoonistheintegral∫0T(120t+180)dt=60T2+180TThetankisfullwhen60T2+180T=1000solvingforTbythequadraticformulawegetT≈2.849hourspastnoon,sothetankisfullat2:51pm.
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