2. As ultrasound propagates into the body, absorption and scattering result in a decrease (or attenu- ation) of the intensity. This can be described by the attenuation coefficient, a. In an experiment to investigate this attenuation in the chest wall of humans, measurements were conducted in which the attenuation of ultrasound through sample human tissue was measured as a function of the ultrasound frequency, f [1]. (a) The figure below (adapted from [1]) shows a set of measurements of the attenuation coef- ficient as a function of the frequency. Fit a linear function to the data points shown. You should draw an approximate line of best fit, determine the slope and intercept of your fit, and then quote the final equation for your line. 12 10 1 3 4 5 6 Frequency (MHz) Attenuation coefficient (dB/cm)
2. As ultrasound propagates into the body, absorption and scattering result in a decrease (or attenu- ation) of the intensity. This can be described by the attenuation coefficient, a. In an experiment to investigate this attenuation in the chest wall of humans, measurements were conducted in which the attenuation of ultrasound through sample human tissue was measured as a function of the ultrasound frequency, f [1]. (a) The figure below (adapted from [1]) shows a set of measurements of the attenuation coef- ficient as a function of the frequency. Fit a linear function to the data points shown. You should draw an approximate line of best fit, determine the slope and intercept of your fit, and then quote the final equation for your line. 12 10 1 3 4 5 6 Frequency (MHz) Attenuation coefficient (dB/cm)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![2. As ultrasound propagates into the body, absorption and scattering result in a decrease (or attenu-
ation) of the intensity. This can be described by the attenuation coefficient, a. In an experiment
to investigate this attenuation in the chest wall of humans, measurements were conducted in
which the attenuation of ultrasound through sample human tissue was measured as a function
of the ultrasound frequency, f [1].
(a) The figure below (adapted from [1]) shows a set of measurements of the attenuation coef-
ficient as a function of the frequency. Fit a linear function to the data points shown. You
should draw an approximate line of best fit, determine the slope and intercept of your fit,
and then quote the final equation for your line.
12
10
2
1
3
4
5
Frequency (MHz)
Attenuation coefficient (dB/cm)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89681284-d08b-44ca-b4d5-4d3e555116a3%2Fe90db42c-acc3-43a3-8cb8-1d70d96b180a%2Fnvq3d7a_processed.png&w=3840&q=75)
Transcribed Image Text:2. As ultrasound propagates into the body, absorption and scattering result in a decrease (or attenu-
ation) of the intensity. This can be described by the attenuation coefficient, a. In an experiment
to investigate this attenuation in the chest wall of humans, measurements were conducted in
which the attenuation of ultrasound through sample human tissue was measured as a function
of the ultrasound frequency, f [1].
(a) The figure below (adapted from [1]) shows a set of measurements of the attenuation coef-
ficient as a function of the frequency. Fit a linear function to the data points shown. You
should draw an approximate line of best fit, determine the slope and intercept of your fit,
and then quote the final equation for your line.
12
10
2
1
3
4
5
Frequency (MHz)
Attenuation coefficient (dB/cm)
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