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OP ) at t = 0?t = 2? t = 20? (Be dt 4. How fast is the amount of antibiotic changing (this means sure to use appropriate units!)

OP ) at t = 0?t = 2? t = 20? (Be dt 4. How fast is the amount of antibiotic changing (this means sure to use appropriate units!)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q = Ae-kt. %3D
Transcribed Image Text:Q = Ae-kt. %3D
OP -) at t = 0? t = 2? t = 20? (Be dt 4. How fast is the amount of antibiotic changing (this means sure to use appropriate units!)
Transcribed Image Text:OP -) at t = 0? t = 2? t = 20? (Be dt 4. How fast is the amount of antibiotic changing (this means sure to use appropriate units!)
Expert Solution
Step 1

The given antibiotic function is Q=Ae-kt.

Differentiate Q with respect to t.

dQdt=ddtAe-kt=-Ake-kt

At t=0,

dQdtt=0=-Ake-k0=-Ak

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