(1) When sugar is dissolved in water, the amount A that remains undissolved after t minutes satisfies the differential equation dA/dt = -kA (k > 0). If 25% of the sugar dissolves after 1 minute, how long does it take for half of the sugar to dissolve?

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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(1) When sugar is dissolved in water, the amount A that remains undissolved after t minutes satisfies the
differential equation dA/dt = -kA (k> 0). If 25% of the sugar dissolves after 1 minute, how long does it
take for half of the sugar to dissolve?
Transcribed Image Text:(1) When sugar is dissolved in water, the amount A that remains undissolved after t minutes satisfies the differential equation dA/dt = -kA (k> 0). If 25% of the sugar dissolves after 1 minute, how long does it take for half of the sugar to dissolve?
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