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. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e¬0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.

. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e¬0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.

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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55. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e-0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.
Transcribed Image Text:55. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e-0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.
b) Use a calculator to graph the function for 0 <t< 40. c) Find A(12) and A'(12), and explain what these numbers represent.
Transcribed Image Text:b) Use a calculator to graph the function for 0 <t< 40. c) Find A(12) and A'(12), and explain what these numbers represent.
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