The area under the function f ( x ) = 3 x 2 over the interval 0 ≤ x ≤ 2 .

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2. A tank with a capacity of 650 gal. originally contains 200 gal of water with 100 lb. of salt in solution. Water containing 1 lb. of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 3 gal/min. a. Find the amount of salt in the tank at any time prior to the instant when the tank begins to overflow (650 gallons). b. Find the concentration (in pounds per gallon) of salt in the tank when the tank hits 400 gallons. D.E. for mixture problems: dv dt=11-12 dA A(t) dt

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Chapter 13.5, Problem 15E

To determine

To Find: The area under the function f(x)=3x2 over the interval 0≤x≤2 .

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