This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 29-mg sample. (a) Find a function m(t) = mo2-t/n that models the mass remaining after t years. m(t) = 1600 29 2 (b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to s m(t) = (c) How much of the sample will remain after 5000 years? (Round your answer to one decimal place.) X mg will only 17 ma of the sample remain? (Round your answer to one 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.