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Main article: Arc Length
If is continuous on then the arc length of the curve between and , is given by
If is continuous on , then the surface area of the solid of revolution rotated around the x-axis is
Find the arc length of the function from to .
Differentiate with respect to gives , then apply the arc length formula:
Let . When , when ,
asA hypothetical horn is constructed, which is described by the parameters
If it is required to paint the interior of the horn. If 100 square units of the interior surface can be covered using one cubic unit of paint, of the available options what is the minimum number of cubic units of paint that would ensure that the entire interior of the horn is covered in paint.
This problem is not original.