The drug concentration in the bloodstream t hours after injection is given approximately by C(t) = 5.45e-t, 0≤t≤5, where C(t) is the concentration in milligrams per milliliter. (A) What is the rate of change of concentration after 2 hours? After 4 hours? (B) Graph C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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q24-HWK6. Do parts A & B

The drug concentration in the bloodstream t hours after injection is given approximately by C(t) = 5.45e¯¯t, 0≤t≤5, where
C(t) is the concentration in milligrams per milliliter.
(A) What is the rate of change of concentration after 2 hours? After 4 hours?
(B) Graph C.
(A) Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round until the final answer. Then round to the nearest hundredth as needed.)
mg/mL per hour.
mg/mL per hour.
O A. After 2 hours, the concentration is increasing at the rate of
B.
After 2 hours, the concentration is decreasing at the rate of
C. After 2 hours, the rate is neither increasing nor decreasing.
Transcribed Image Text:The drug concentration in the bloodstream t hours after injection is given approximately by C(t) = 5.45e¯¯t, 0≤t≤5, where C(t) is the concentration in milligrams per milliliter. (A) What is the rate of change of concentration after 2 hours? After 4 hours? (B) Graph C. (A) Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round until the final answer. Then round to the nearest hundredth as needed.) mg/mL per hour. mg/mL per hour. O A. After 2 hours, the concentration is increasing at the rate of B. After 2 hours, the concentration is decreasing at the rate of C. After 2 hours, the rate is neither increasing nor decreasing.
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