plant degrades according to the law dQ dt -0.04Q where t is measured in years. If the initial leak a. Use the separation of variables method to fi time.
plant degrades according to the law dQ dt -0.04Q where t is measured in years. If the initial leak a. Use the separation of variables method to fi time.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 85CR
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Question
![4) A toxic chemical accidentally released into the environment from a metal processing
plant degrades according to the law
dQ
dt
-0.04Q
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c2d4722-da1e-4e20-8155-7ce4023bf7bc%2Fb7d09b2c-8d39-482d-8244-672dfa0b16db%2Flhupokf_processed.png&w=3840&q=75)
Transcribed Image Text:4) A toxic chemical accidentally released into the environment from a metal processing
plant degrades according to the law
dQ
dt
-0.04Q
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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