4. The amount, 4, in grams of a radioactive material that is decaying can be modeled by A(d)= 450(0.88)", where d is the number of days since it started its decay. (a) By what percent is the material decaying per day? (b) Give an interpretation of the fact that A(14)= 75. (c) Use your calculator to sketch a graph of A(d) (d) The material is safe to transport once it has less than 5 grams of radioactive mass left. Using tables on your calculator, determine the first day when it will be safe to transport this material. Show some entries from your table to support your answer. over the interval 0sds21. You determine an appropriate y-window and label the y- intercept with its value. Amount (grams) Y, 21 d (days)

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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.