ms. yoakum calculus. click one: disk method cylindrical shells method washer method back click one:
TRANSCRIPT
Ms. YoakumCalculus
Click one:
Disk Method
Cylindrical Shells Method
Washer Method
Back
Click one:
Next
Volume = RNext
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
rVolume =
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
Next
(Horizontal Axis of Revolution)
rVolume =
Next
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
Determine the volume of the solid obtained by rotating the portion of the region bounded by andthat lies in the first quadrant about the y-axis.
rewrite the functions:
rVolume =
Problem courtesy of: http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx
Done
Next
2Volume = x f (x)
A bit more
theory and
Next
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
2Volume = 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
Questions
Back
Try the following questions.
1st Click will bring up a hint.
2nd click will bring up the
answer.
3rd click will bring up the
next question.
Determine the volume of the solid obtained by rotating the region bounded by y = x^3 and
y = x, about the x-axis.
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
Determine the volume of the solid obtained by rotating the region bounded by y = x and
, about y = 1.
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