emical substance has a decay rate of 8.3%per day. The rate of change of an amount N of the chemical after t days is given by dN/dt=−0.083N. a) Let N0 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.
emical substance has a decay rate of 8.3%per day. The rate of change of an amount N of the chemical after t days is given by dN/dt=−0.083N. a) Let N0 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.
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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A chemical substance has a decay rate of 8.3%per day. The rate of change of an amount N of the chemical after t days is given by dN/dt=−0.083N.
a) Let N0 represent the amount of the substance present at t=0.
Find the exponential function that models the decay.
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 6 days?
How much will remain after 6 days?
c) What is the rate of change of the amount of the substance after 6 days?
d) After how many days will half of the original 700 g of the substance remain?
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