16. Carbon–14 is used to estimate the age of carbon-bearing materials up to about 60,000 years old. The exponential model is given by A = Age-0.00012, The Spirit Cave Mummy which was found in Fallon, Nevada was determined to be 9,400 years old. The amount of Carbon 14 found (A) was determined to be approximately 32% of the amount present (A,) at the time of death. From this information find the half-life of Carbon–14. Show how you would set-up this problem. Then use your calculator to find the solution. Set-up: Solution:

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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.