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The Dye Dilution Method Is Used to Measure Cardiac Output c(t)=115t(15t),0t15c ( t ) = \frac { 1 } { 15 } t ( 15 - t ) , \quad 0 \leq t \leq 15

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The dye dilution method is used to measure cardiac output with 6 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)=115t(15t),0t15c ( t ) = \frac { 1 } { 15 } t ( 15 - t ) , \quad 0 \leq t \leq 15 , where t is measured in seconds. Find the cardiac output.

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