Radioactive Decay The amount of radioactiveisotope thorium-234 present at time t is given byA(t) = 500e-0.02828tgrams, where t is the time inyears that the isotope decays. The initial amountpresent is 500 grams.a. How many grams remain after 10 years?b. Graph this function for 0 <= t <= 100.c. If the half-life is the time it takes for half of theinitial amount to decay, use graphical methods toestimate the half-life of this isotope.

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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.