The rate at which a battery charges is slower the closer the battery is to its maximum charge Co. The time (in hours) required to charge a fully discharged battery to a charge C is given by t = -kin(1- -) where k is a positive constant that depends on the battery. For a certain battery, k = 0.2. If this battery is fully discharged, how long will it take to charge to 90% of its maximum charge Co? (Round your answer to three dec hr

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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The rate at which a battery charges is slower the closer the battery is to its maximum charge Co. The time (in hours) required to charge a fully discharged battery to a charge C is given by
-k In (1-C)
t =
where k is a positive constant that depends on the battery. For a certain battery, k = 0.2. If this battery is fully discharged, how long will it take to charge to 90% of its maximum charge Co? (Round your answer to three decimal places.)
hr
Transcribed Image Text:The rate at which a battery charges is slower the closer the battery is to its maximum charge Co. The time (in hours) required to charge a fully discharged battery to a charge C is given by -k In (1-C) t = where k is a positive constant that depends on the battery. For a certain battery, k = 0.2. If this battery is fully discharged, how long will it take to charge to 90% of its maximum charge Co? (Round your answer to three decimal places.) hr
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