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A tank holds 3 000 gallons of water which drains from the bottom of the...

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Calculus

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A tank holds 3 000 gallons of water which drains from the bottom of the tank in half an hour The values in the table show the volume V of water remaining in the tank in gallons after t minutes t min 5 v gal 2 058 1 320 765 336 81 0 a If P is the point 15 765 on the graph of V find the slopes of the secant lines PQ when Q is the point on the graph with t 5 10 20 25 and 30 Round your answers to one decimal place 5 2 058 10 1 320 20 336 25 81 30 0 Slope 10 15 20 25 30 b Estimate the slope of the tangent line at P by averaging the slopes of the two adjacent secant lines corresponding to the two points closest to P Round your answer to one decimal place

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