ON A chemical substance has a decay rate of 7 4% per day. The rate of change of an amount N of the chemical after t days is given by =-0.074N dt a) Let No represent the amount of the substance present at t=0. Find the exponential function that models the decay b) Suppose that 700 g of the substance is present at t=0. How much will remain after 2 days? c) What is the rate of change of the amount of the substance after 2 days? d) After how many days will half of the original 700 g of the substance remain? at kay
ON A chemical substance has a decay rate of 7 4% per day. The rate of change of an amount N of the chemical after t days is given by =-0.074N dt a) Let No represent the amount of the substance present at t=0. Find the exponential function that models the decay b) Suppose that 700 g of the substance is present at t=0. How much will remain after 2 days? c) What is the rate of change of the amount of the substance after 2 days? d) After how many days will half of the original 700 g of the substance remain? at kay
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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 15E
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![dN
A chemical substance has a decay rate of 7 4% per day. The rate of change of an amount N of the chemical after t days is given by =-0.074N
dt
a) Let No represent the amount of the substance present at t=0. Find the exponential function that models the decay
b) Suppose that 700 g of the substance is present at t=0. How much will remain after 2 days?
c) What is the rate of change of the amount of the substance after 2 days?
d) After how many days will half of the original 700 g of the substance remain?
a) N(t)=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc17b884f-da2a-4651-8d85-b5edcc64f900%2F8fe01e34-ee42-4818-bb6f-808b4b3dba88%2F1t3u0ib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:dN
A chemical substance has a decay rate of 7 4% per day. The rate of change of an amount N of the chemical after t days is given by =-0.074N
dt
a) Let No represent the amount of the substance present at t=0. Find the exponential function that models the decay
b) Suppose that 700 g of the substance is present at t=0. How much will remain after 2 days?
c) What is the rate of change of the amount of the substance after 2 days?
d) After how many days will half of the original 700 g of the substance remain?
a) N(t)=
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