-4- 1- 6 10 --1- --2- On the intervals [0, 4] and [6, 10], h(t) is defined by two linear expressions (shown in the graph), while on the interval [4, 6] it is constant (not shown in the graph). In other words, h(t) = C for all values of t in the interval [4, 6]. 10 Use the properties of the definite integral to find C if it is known that: | h(t) dt = 8 Hint: Interpret the definite integral as the net area between the curve and the x-axis.

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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.