Every morning a patient receives by injection the same dose of a drug. A blood test is performed right after receiving the drug injection to measure the concentration of the drug in the blood. The drug concentration in the blood increases by 2 units after each injection. Over a period of 24 hours between the blood tests, 70% of the drug in the blood is removed by the system. a) Write the linear DTDS for the drug concentration. Answer: It+1 = f(xt), where the updating function is f(x) = b) Find 4 when zo 0.6. Give your answer with a precision of two decimals. Answer: 4 = Number c) Find the fixed point of this DTDS. Give the exact value. Answer: 团团
Every morning a patient receives by injection the same dose of a drug. A blood test is performed right after receiving the drug injection to measure the concentration of the drug in the blood. The drug concentration in the blood increases by 2 units after each injection. Over a period of 24 hours between the blood tests, 70% of the drug in the blood is removed by the system. a) Write the linear DTDS for the drug concentration. Answer: It+1 = f(xt), where the updating function is f(x) = b) Find 4 when zo 0.6. Give your answer with a precision of two decimals. Answer: 4 = Number c) Find the fixed point of this DTDS. Give the exact value. Answer: 团团
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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Question
Transcribed Image Text:Every morning a patient receives by injection the same dose of a drug. A blood test is performed right after receiving the drug injection to measure the
concentration of the drug in the blood. The drug concentration in the blood increases by 2 units after each injection. Over a period of 24 hours between the
blood tests, 70% of the drug in the blood is removed by the system.
a) Write the linear DTDS for the drug concentration.
Answer: a41 = f(xt), where the updating function is f(x) =
b) Find r4 when zo = 0.6. Give your answer with a precision of two decimals.
Answer: I4 =
Number
c) Find the fixed point of this DTDS. Give the exact value.
Answer:
d) Draw the updating function and start the cobwebbing process at ro = 0.6. Do at least two iterations. Remember to always start your cobweb on the
horizontal axis. Click on the left button of your mouse to enter a corner point of your cobweb. You can always adjust the coordinates of the last point that you
have entered using the field with the coordinates and pressing the return key.
Label for the horizontal axis of the graph below:
O * O #t+1 Ot O t Oy
Label for the vertical axis of the graph below:
O Ot O a+1 O *t O v
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