f(x) dx = [area above x-axis) – [area below x-axis] Let's now consider the graph: Area = 4 %3D 1 Area=1.5 Suppose we have bathtub that contains at least 15 gallons of water in it. We can add water to the tub and we can remove water from the tub. The graph above shows the flow rate, f(t), of water in/out of the tub in gallons per minute where t is the time in minutes. a) Find the value of the integral | f(t) dt and write a sentence to interpret the value in context (including units). Note: The value will be negative. What does the integral being negative mean? b) Find the value of the integral | f(t) dt and write a sentence to interpret the value in context (including units). 3.

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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.