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Ms. Yoakum Calculus. Click one: Disk Method Cylindrical Shells Method Washer Method Back Click one:

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Presentation on theme: "Ms. Yoakum Calculus. Click one: Disk Method Cylindrical Shells Method Washer Method Back Click one:"— Presentation transcript:

1 Ms. Yoakum Calculus

2 Click one:

3 Disk Method Cylindrical Shells Method Washer Method Back Click one:

4 Next

5 Volume = R Next

6 Determine the volume of the solid obtained by rotating the region bounded by,,, and the x-axis about the x-axis. Problem courtesy of: Next

7 r Volume = Determine the volume of the solid obtained by rotating the region bounded by,,, and the x-axis about the x-axis. Problem courtesy of: Done

8 Next

9 (Horizontal Axis of Revolution) r Volume = Next

10 Determine the volume of the solid obtained by rotating the portion of the region bounded by and that lies in the first quadrant about the y-axis. Problem courtesy of: Next

11 Determine the volume of the solid obtained by rotating the portion of the region bounded by and that lies in the first quadrant about the y-axis. rewrite the functions: r Volume = Problem courtesy of: Done

12 Next

13 2 Volume = x f (x) A bit more theory and Next

14 Determine the volume of the solid obtained by rotating the region bounded by and the x-axis about the y-axis. Problem courtesy of: Next

15 2 Volume = x f (x) Determine the volume of the solid obtained by rotating the region bounded by and the x-axis about the y-axis. Problem courtesy of: Done

16 Questions Back Try the following questions. 1 st Click will bring up a hint. 2 nd click will bring up the answer. 3 rd click will bring up the next question.

17 Determine the volume of the solid obtained by rotating the region bounded by y = x^3 and y = x, about the x -axis.

18 Determine the volume of the solid obtained by rotating the region bounded by x = 2, x = 0, and y = 9 about the y -axis. y

19 Determine the volume of the solid obtained by rotating the region bounded by y = x and, about y = 1.

20 Determine the volume of the solid obtained by rotating the region bounded by y = 2(x^2) - x^3 and the x -axis, about y -axis. Done


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