demonstrate volume of revolution - Maple Programming Help

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Student[Calculus1][VolumeOfRevolutionTutor] - demonstrate volume of revolution

 Calling Sequence VolumeOfRevolutionTutor(f, g, var=a..b)

Parameters

 f - (optional) algebraic expression in one variable var g - (optional) algebraic expression in one variable var a..b - (optional) interval var - (optional) variable

Description

 • The VolumeOfRevolutionTutor(f) command launches a tutor interface that plots and computes the volume of a solid of revolution generated by rotating a function f on the interval a..b around the horizontal or vertical axis, or around a line parallel to one of the axes.
 • The VolumeOfRevolutionTutor(f,g) command launches a tutor interface that plots and computes the volume of a solid of revolution generated by rotating the region between the two functions f and g on the interval a..b around the horizontal or vertical axis, or around a line parallel to one of the axes.
 If f is not specified, VolumeOfRevolutionTutor uses a default function.
 If a..b is not specified, VolumeOfRevolutionTutor uses a default interval.
 If var is not specified, VolumeOfRevolutionTutor uses a default variable.

Examples

 > $\mathrm{with}\left(\mathrm{Student}[\mathrm{Calculus1}]\right):$
 > $\mathrm{VolumeOfRevolutionTutor}\left(\right)$
 > $\mathrm{VolumeOfRevolutionTutor}\left(1+\mathrm{sin}\left(x\right)\right)$
 > $\mathrm{VolumeOfRevolutionTutor}\left(1+\mathrm{sin}\left(x\right),0..\mathrm{π}\right)$
 > $\mathrm{VolumeOfRevolutionTutor}\left(1+\mathrm{sin}\left(x\right),x=0..\mathrm{π}\right)$
 > $\mathrm{VolumeOfRevolutionTutor}\left(1+\mathrm{sin}\left(x\right),\mathrm{cos}\left(\frac{x}{2}\right),x=0..\frac{\mathrm{π}}{2}\right)$

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