EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 19, Problem 21P
A dye is injected into the circulating blood volume to measure a patient's cardiac output, which is the volume flow rate of blood out of the left ventricle of the heart. In other words, cardiac output is the number of liters of blood your heart pumps in a minute. For a person at rest, the rate might be 5 or 6 liters per minute. If you are a trained marathon runner running a marathon, your cardiac output can be as high as 30 L/min. The data below shows the response of an individual when 5 mg of dye was injected into the venous system.
| Time (s) | 2 | 6 | 9 | 12 | 15 | 18 | 20 | 24 |
| Concentration (mg/L) | 0 | 1.5 | 3.2 | 4.1 | 3.4 | 2 | 1 | 0 |
Fit a polynomial curve through the data points and use the function to approximate the patient's cardiac output, which can be calculated by:
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Chapter 19 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 19 - The average values of a function can be determined...Ch. 19 - The solar radiation for Tucson, Arizona, has been...Ch. 19 - 19.3 The pH in a reactor varies sinusoidally over...Ch. 19 - 19.4 Use a continuous Fourier series to...Ch. 19 - 19.5 Use a continuous Fourier series to...Ch. 19 - Construct amplitude and phase line spectra for...Ch. 19 - 19.7 Construct amplitude and phase line spectra...Ch. 19 - 19.8 A half-wave rectifier can be characterized...Ch. 19 - 19.9 Construct amplitude and phase line spectra...Ch. 19 - Develop a user-friendly program for the DFT based...
Ch. 19 - 19.11 Use the program from Prob. 19.10 to compute...Ch. 19 - 19.12 Develop a user-friendly program for the FFT...Ch. 19 - 19.13 Repeat Prob. 19.11 using the software you...Ch. 19 - An object is suspended in a wind tunnel and the...Ch. 19 - 19.15 Use the Excel Data Analysis ToolPak to...Ch. 19 - Use the Excel Data Analysis Toolpack to fit a...Ch. 19 - (a) Use MATLAB to fit a cubic spline to the...Ch. 19 - 19.18 Use MATLAB to generate 64 points from the...Ch. 19 - In a fashion similar to Sec. 19.8.2, use MATLAB to...Ch. 19 - Runges function is written as f(x)=11+25x2...Ch. 19 - A dye is injected into the circulating blood...Ch. 19 - In electric circuits, it is common to see current...Ch. 19 - Develop a plot of the following data with (a)...
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