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Ms. Yoakum Calculus

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Click one:

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Disk Method Cylindrical Shells Method Washer Method Back Click one:

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Next

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Volume = R Next

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Determine the volume of the solid obtained by rotating the region bounded by,,, and the x-axis about the x-axis. Problem courtesy of: http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx Next

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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: http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx Done

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Next

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(Horizontal Axis of Revolution) r Volume = Next

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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: http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx Next

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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: http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx Done

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Next

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

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Determine the volume of the solid obtained by rotating the region bounded by and the x-axis about the y-axis. Problem courtesy of: http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx Next

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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: http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx Done

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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.

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

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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

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

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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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Drill: Find the area in the 4 th quadrant bounded by y=e x -5.6; Calculator is Allowed! 1) Sketch 2) Highlight 3) X Values 4) Integrate X=? X=0 X=1.723.

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