The following graph shows the approximate number f (t) of doctoral degrees per year awarded to women in the United States during 2005-2013. (t = O represents the start of 2005, and each unit of the y-axis represents 10,000 degrees.)t 3.5 2.5 2 1.5 0.5 O1 2 3 4 5 6 7 8 Use the graph to estimate the total number of doctoral degrees awarded to women from the start of 2006 to the start of 2012. HINT [See Example 4.] 168750 x doctoral degrees

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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.