Question

When sugar is dissolved in water; the amount that remains undissolved after 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?

Name: when sugar is dissolved in water the amount that remains undissolved after minutes satisfies the differential equation 4 ka k 0 if 25 of the sugar dissolves after minute how long does it tak 64472
Uploaded: 2022-08-17T07:57:16-08:00
Duration: 6 min 2 s
Channel: Adi S
Description: when sugar is dissolved in water the amount that remains undissolved after minutes satisfies the differential equation 4 ka k 0 if 25 of the sugar dissolves after minute how long does it tak 64472

          When sugar is dissolved in water; the amount that remains undissolved after 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?

Added by Henry P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

08/17/2022

Step 1

The differential equation provided is \(\frac{dA}{dt} = -kA\), where \(A\) is the amount of sugar that remains undissolved at time \(t\), and \(k\) is a positive constant. This equation states that the rate at which sugar dissolves is proportional to the amount of Show more…

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When sugar is dissolved in water; the amount that remains undissolved after 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?