(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The dye dilution is used to measure cardiac output with 6 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)=20te^(-0.6t), 0 =< t =< 10, where t is measured in seconds. Find the cardiac output.

2. Relevant equations

Cardiac output is given by: F=A/[itex]\int[/itex][c(t) dt]_{0}^{10}where the amount of dye A is known and the integral can be approximated from the concentration readings.

3. The attempt at a solution

In this case A=6 mg and c(t) = 20te^(-0.6t).

I've been trying to estimate with a Riemann sum and/or Simpson's rule but I can't figure out how to get the integral in the correct form to estimate with.

Wolfram alpha spits out 54.5916 using a Riemann sum, but the next problem in this packet (same setup with different dye amount) suggests I use Simpson's rule.

When I plug values of 0->10 into the function I get weird values but I can't integrate it without an estimation technique.

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# Dye Dilution; Estimate value of an Integral

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