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The standard technique for determining cardiac output is the indicator dilution method developed by Hamilton. One...

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Advance Math

The standard technique for determining cardiac output is theindicator dilution method developed by Hamilton. One end of a smallcatheter is inserted in the radial artery and the other end isconnected to a densitometer which can automatically record theconcentration of the dye in the blood. A known amount of dye, 5.6mgis injected rapidly the following data is obtained. Fill in thetable using Newton’s interpolation to determine the divideddifference coefficients.   

t(s)               2               3               8               10             13             14

C(mg/L)       0.89927  0.85987   1.96637   1.54559  0.17987   0.50699

tC(t)? f'(x)? f"(x)? f"'(x)? f""(x)? f""'(x)
20.89927
30.85987
81.96637
101.54559
130.17987
140.50699

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