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Which of the following integrals represents the area of the surface obtained by rotating the curve [math] about the [math]-axis?







 

Which of the following integrals represents the area of the surface obtained by rotating the curve [math] about the [math]-axis?







 

Find the area of the surface obtained by rotating the curve [math] about the [math]-axis.

Area = 

If the infinite curve [math] is rotated about the [math]-axis, find the area of the resulting surface.

Note: If the surface area is infinite, type "infinity" in lower-case letters.

Area = 

Find the area of the surface obtained by rotating the curve [math] about the [math]-axis.

Area = 

 

 Find the area of the surface obtained by rotating the curve [math] about [math]-axis for [math].

Area: 

 

Find the area of the surface obtained by rotating the curve [math] from [math] to [math] about the [math]-axis.

The area is  square units.

 

Find the area of the surface obtained by rotating the curve [math] about the [math]-axis.

Area =

 

Which of the following integrals represents the area of the surface obtained by rotating the curve [math] about the [math]-axis?







If the curve [math] is rotated about the horizontal line [math] where [math] then one can prove that a formula for the area of the resulting surface is [math] Use this formula and a computer algebra system to find the area of the surface generated by rotating the curve [math] about the line [math]

Surface area = 

 

 

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