The half-life of a radioactive substance is 38.6 years. a. Find the exponential decay model for this substance. b. How long will it take a sample of 1000 grams to decay to 600 grams? c. How much of the sample of 1000 grams will remain after 10 years? a. Find the exponential decay model for this substance. -0.018t A(t) = Aŋ e (Round to the nearest thousandth.) ir b. How long will it take a sample of 1000 grams to decay to 600 grams? Approximately years (Round to the nearest hundredth.)

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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.