Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 345e -0.015t where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is grams. (b) How much of the mass remains after 25 years? Your answer is grams. Round answers to 1 decimal place. (C) How long will it take for the sample to lose half of its mass? Your answer is years. Round answers to 1 decimal place.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.