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 transcript:

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  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

Graph (1, 3) (4, 9)

Area

x-axis (Washer)

y = 2 (Washer)

y – axis (Shell)

Cross Section with Eq. Triangles

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.

Sally’s Visual

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?