This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 16-g sample. (a) Find a function m(t) = m02−t/h that models the mass remaining after tyears. m(t) =     (b) Find a function m(t) = m0e−rt that models the mass remaining after tyears. (Round your r value to four decimal places.) m(t) =     (c) How much of the sample will remain after 89 years? (Round your answer to one decimal place.) = g (d) After how many years will only 2 g of the sample remain? (Round your answer to the nearest whole number.) =( yrs )

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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.