Surface of Revolution - Maple Programming Help

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Surface of Revolution

Description

 

Calculate the surface area of a surface of revolution generated by rotating a univariate function about the horizontal or vertical axis.

 

Enter the function as an expression and specify the range:

 

sinx, 0..π

sinx,0..π

(1)

 

Calculate the surface of revolution:

 

StudentCalculus1SurfaceOfRevolution

2π2+2πln1+2

(2)

 

Display the floating-point value using the evalf command:

 

 

evalf

14.42359945

(3)

 

Display a plot using the output = plot option:

 

StudentCalculus1SurfaceOfRevolution, output=plot, scaling=constrained, caption=

 

Display the exact solution (integral form) using the output = integral option:

 

StudentCalculus1SurfaceOfRevolution,output=integral

∫0π2πsinx1+cosx2ⅆx

(4)

 

Alternatively, you can use the Surface of Revolution tutor, a point and click interface.  You can launch the tutor in two ways:

• 

From the Tools menu, select Tutors, Calculus - Single Variable, and then Surface of Revolution.

• 

Use the following command to launch the tutor:

 

StudentCalculus1SurfaceOfRevolutionTutor

Commands Used

Student[Calculus1][SurfaceOfRevolution], Student[Calculus1][SurfaceOfRevolutionTutor]

See Also

Student[Calculus1]