A chemical dissolves so that its quantity follows grams

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A chemical dissolves so that its quantity follows y(t)=80e0.05ty(t)=80e^{0.05t} grams, where tt is in minutes. Determine the instantaneous rate of change in grams per minute at t=6 mint=6\text{ min} and express this rate as a percentage of the amount present at that time.

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