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Extra Review Chapter 7 (Area, Volume, Distance). Given that is the region bounded by Find the following  Area of  Volume by revolving around the x-axis.

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Presentation on theme: "Extra Review Chapter 7 (Area, Volume, Distance). Given that is the region bounded by Find the following  Area of  Volume by revolving around the x-axis."— Presentation transcript:

1 Extra Review Chapter 7 (Area, Volume, Distance)

2 Given that is the region bounded by Find the following  Area of  Volume by revolving around the x-axis  Volume by revolving around the line  Volume by revolving around the y-axis  Volume of cross sections perpendicular to the x- axis with as the base using equilateral triangles

3 Graph (1, 3) (4, 9)

4 Area

5 Volume @ x-axis (Washer)

6 Volume @ y = 2 (Washer)

7 Volume @ y – axis (Shell)

8 Cross Section with Eq. Triangles

9 Distance… Sally rides her scooter along a straight road from home to the mall, starting at home at time t=0 minutes and arriving at the mall at time t=20 minutes. During the time interval, minutes, her velocity, in miles per minute, is modeled by the piecewise linear function whose graph is shown on the next slide.

10 Sally’s Visual

11 Another Distance – with Calculator A particle moves along a straight line with its velocity given by Find the total distance traveled during the first 5 seconds When does the particle change directions?


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