In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. In a certain reaction, the change of the substance satisfies the differential equation dy = -0.58y dt where y is measured in grams and t is measured in hours. If there are 100 grams of the substance when t = 0, how many grams will be left after the first hour? Select the correct response: О 56 g O 88.5 g O 97 g O 45.6 g

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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In some chemical reactions, the rate at which the amount of a substance changes with time is
proportional to the amount present. In a certain reaction, the change of the substance satisfies
the differential equation
dy = -0.58y
dt
where y is measured in grams and t is measured in hours. If there are 100 grams of the
substance when t = 0, how many grams will be left after the first hour?
Select the correct response:
О 56 g
O 88.5 g
O 97 g
O 45.6 g
Transcribed Image Text:In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. In a certain reaction, the change of the substance satisfies the differential equation dy = -0.58y dt where y is measured in grams and t is measured in hours. If there are 100 grams of the substance when t = 0, how many grams will be left after the first hour? Select the correct response: О 56 g O 88.5 g O 97 g O 45.6 g
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