A sample of radioactive material decays over time (measured in hours) with decay constant .5. The graph of the exponential function y = P(t), shown on the right, gives the number of grams remaining after t hours. (a)How much was remaining after 1 hour? (b)Approximate the half-life of the material. (c)How fast was the sample decaying after 5 hours? (d)When was the sample decaying at the rate of .3 grams per hour? Ay 9- 7- 5- 3- y = P(t) 1-

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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.