An isotope of the element erbium has a half-life of approximately 10 hours. Initially there are 11 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t) grams b. Use part a. to determine the rate at which the substance is decaying after t hours. A'(t) = grams per hour c. Use part b. to determine the rate of decay at 3 hours. Round to four decimal places.

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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.