A factory has 300 gallons of marmalade in its holding tank at time t 0. The marmalade is being removed at a rate modeled by H(t) = 8. (1.3)' in gallons per hour while more is being added at a rate modeled by R(t) = 21 + 10 in gallons per hour. What is the maximum amount of marmalade in the tank in the first 4 hours of production? You must show all your work in solving this problem including any equations that you used in your calculator and your reasoning behind it. You may type your work or insert a picture (preferred). %3D %3D
A factory has 300 gallons of marmalade in its holding tank at time t 0. The marmalade is being removed at a rate modeled by H(t) = 8. (1.3)' in gallons per hour while more is being added at a rate modeled by R(t) = 21 + 10 in gallons per hour. What is the maximum amount of marmalade in the tank in the first 4 hours of production? You must show all your work in solving this problem including any equations that you used in your calculator and your reasoning behind it. You may type your work or insert a picture (preferred). %3D %3D
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Transcribed Image Text:A factory has 300 gallons of marmalade in its holding tank at timet 0. The
marmalade is being removed at a rate modeled by H(t) = 8· (1.3)' in gallons
per hour while more is being added at a rate modeled by R(t) = 2t +10 in
gallons per hour. What is the maximum amount of marmalade in the tank in the first
4 hours of production? You must show all your work in solving this problem including
any equations that you used in your calculator and your reasoning behind it. You may
type your work or insert a picture (preferred).
%3D
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