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Doppler ultrasound is often used to measure the flow rate of blood. It is assumed that the relationship between red blood cells and ultrasound scattering

Doppler ultrasound is often used to measure the flow rate of blood. It is assumed that the relationship between red blood cells and ultrasound scattering can be shown as R = Bf^4, where R is the fraction of scattering back to the probe, B is the proportionality constant, and f is Ultrasonic frequency. The penetration of ultrasound in tissue is p = e^-aft, where p is the fraction of penetration, a is the attenuation coefficient of the tissue, and t is the thickness of the tissue. Prove that when the frequency f=2/(at), the maximum echo signal can be obtained.

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