A radioactive isotope obeys

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A radioactive isotope obeys dMdt=−0.041M\dfrac{dM}{dt}=-0.041M, where MM is measured in grams and tt in years. If the initial mass is 50 g50\text{ g}, determine the time required for the mass to decrease to 15 g15\text{ g}. Provide the exact value of tt.

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