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In: Advanced Math

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

The standard technique for determining cardiac output is the indicator dilution method developed by Hamilton. One end of a small catheter is inserted in the radial artery and the other end is connected to a densitometer which can automatically record the concentration of the dye in the blood. A known amount of dye, 5.6mg is injected rapidly the following data is obtained. Fill in the table using Newton’s interpolation to determine the divided difference coefficients.   

t (s)               2               3               8               10             13             14

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

t C(t) ∆ f'(x) ∆ f"(x) ∆ f"'(x) ∆ f""(x) ∆ f""'(x)
2 0.89927
3 0.85987
8 1.96637
10 1.54559
13 0.17987
14 0.50699

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