Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99m isotope is used. However, it takes about 24 hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relative intensity of radiation as a function of time. 1 3 5 7 t(hrs) 0 R 9 1.000 0.891 0.708 0.562 0.447 0.355 The relative intensity is related to time by the equation R = A e^(Bt). Find the constant A by the least square method. (correct to 4 decimal places)
Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99m isotope is used. However, it takes about 24 hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relative intensity of radiation as a function of time. 1 3 5 7 t(hrs) 0 R 9 1.000 0.891 0.708 0.562 0.447 0.355 The relative intensity is related to time by the equation R = A e^(Bt). Find the constant A by the least square method. (correct to 4 decimal places)
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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![Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99m
isotope is used. However, it takes about 24 hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relative
intensity of radiation as a function of time.
t(hrs) 0 1 3 5
7
9
R
1.000 0.891 0.708 0.562 0.447 0.355
The relative intensity is related to time by the equation R = A e^(Bt).
Find the constant A by the least square method. (correct to 4 decimal places)
-0.05](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90e5680f-0091-4b1e-b48e-0aaf5fe0a1f6%2Ffdfcffb5-6089-46e3-bf5f-92fe69e20af2%2F6lwn3ani_processed.png&w=3840&q=75)
Transcribed Image Text:Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99m
isotope is used. However, it takes about 24 hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relative
intensity of radiation as a function of time.
t(hrs) 0 1 3 5
7
9
R
1.000 0.891 0.708 0.562 0.447 0.355
The relative intensity is related to time by the equation R = A e^(Bt).
Find the constant A by the least square method. (correct to 4 decimal places)
-0.05
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