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Section 8.5 – More Applications of the Definite Integral

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Presentation on theme: "Section 8.5 – More Applications of the Definite Integral"— Presentation transcript:

1 Section 8.5 – More Applications of the Definite Integral

2 CALCULATOR REQUIRED

3 A tire factory is located at the center of a town, which extends three miles on either side of the factory. Let x be the distance from the factory. A straight highway goes through town and the density of particles of pollutant along the highway is given by when d(x) is the number of particles of pollutant per miles per day at the point x. Find the total number of particles of pollutant per day deposited in town along the highway.

4 A campground is in the shape of a rectangle measuring 1000 yards by 500 yards, with a river running along one of the 1000 yard sides. At a distance of x yards from the river, the density function gives the number of tents per square yard on a recent Fourth of July weekend. Find the number of tents in the campground. 500 dx River 1000

5 As a container moves along an assembly line, it is being filled with merchandise. When the container is at point x, the force needed to keep it moving is pounds. How much work is done in moving the container from x = 0 to x = 6 feet? dx

6 CALCULATOR REQUIRED

7 CALCULATOR REQUIRED

8 CALCULATOR REQUIRED

9 CALCULATOR REQUIRED

10


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