A toxic chemical accidentally released into the environment from a metal processing plant degrades according to the law dQ = -0.04Q dt where t is measured in years. If the initial leak is of 60kg, a. Use the separation of variables method to find the amount remaining at any given time. b. Prove that the general solution found above can also generated using the integrating factor method. c. Find the amount remaining after 10 years.
A toxic chemical accidentally released into the environment from a metal processing plant degrades according to the law dQ = -0.04Q dt where t is measured in years. If the initial leak is of 60kg, a. Use the separation of variables method to find the amount remaining at any given time. b. Prove that the general solution found above can also generated using the integrating factor method. c. Find the amount remaining after 10 years.
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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Transcribed Image Text:A toxic chemical accidentally released into the environment from a metal processing
plant degrades according to the law
dQ
= -0.04Q
dt
where t is measured in years. If the initial leak is of 60kg,
a. Use the separation of variables method to find the amount remaining at any given
time.
b. Prove that the general solution found above can also generated using the
integrating factor method.
c. Find the amount remaining after 10 years.
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