Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive material decays continuously and 15 days later the sample is measured at 1000 counts/minute, then (a) What is the rate r that the substance is continuously decaying at? (b) What is the half-life of the sample?

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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.