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Life is not about finding yourself Life is about creating yourself Lolly Daskal The rate...

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Calculus

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Life is not about finding yourself Life is about creating yourself Lolly Daskal The rate at which water flows into a tank in gallons per hour is given by a positive continuous function R of time t The table below shows the rate at selected values oft for a 12 hour period 3 t hrs R gal hr 0 2 6 8 10 12 12 5 13 4 13 9 14 3 14 6 14 8 14 7 4 Use a midpoint Reimann sum with 3 subintervals to approximate the amount of water that flowed into the tank over the 12 hour period Use your calculator for 4 5 Show all work that leads to your answer 4 The total area enclosed between the curve y x 3x x 2 and the x axis on the interval 2 2 G 4 1 5 Find the average value of the function f x x 3x 8 on the interval 1 4 6 Given the graph of f x find f x dx

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