The quantity of caffeine in the body after drinking a cup of coffee is shown in the figure to the right. The half-life is (a) Estimate the half-life of caffeine. NOTE: Round your answer to one decimal place. 150 hours. The continuous decay rate is 100 50 0 Q (mg) 4 8 (b) Use the half-life to find the continuous percent decay rate. NOTE: Round your answer to one decimal place. Remember to express your answer as a decay rate, not a growth rate. % per 12 t (hours) hour. (c) Give a formula for Q as a function of t. Assume a continuous decay rate. NOTE: Round the parameters in your answer to three decimal places. Q(t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
The quantity of caffeine in the body
after drinking a cup of coffee is shown
in the figure to the right.
The half-life is
(a) Estimate the half-life of caffeine.
NOTE: Round your answer to one decimal place.
150
hours.
The continuous decay rate is
100
50
0
Q (mg)
4
%
(b) Use the half-life to find the continuous percent decay rate.
NOTE: Round your answer to one decimal place. Remember to express your answer
as a decay rate, not a growth rate.
8
per
12 t (hours)
hour.
(c) Give a formula for Q as a function of t. Assume a continuous
decay rate.
NOTE: Round the parameters in your answer to three decimal places.
Q(t) =
Transcribed Image Text:The quantity of caffeine in the body after drinking a cup of coffee is shown in the figure to the right. The half-life is (a) Estimate the half-life of caffeine. NOTE: Round your answer to one decimal place. 150 hours. The continuous decay rate is 100 50 0 Q (mg) 4 % (b) Use the half-life to find the continuous percent decay rate. NOTE: Round your answer to one decimal place. Remember to express your answer as a decay rate, not a growth rate. 8 per 12 t (hours) hour. (c) Give a formula for Q as a function of t. Assume a continuous decay rate. NOTE: Round the parameters in your answer to three decimal places. Q(t) =
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